I hate my first name, but my parents aren't keen on changing it?

[Lulu]

Since Day 1 I've disliked my first name. My father chose my name as an option, and my brother, at the age of 4 years old, chose it, as he was given the big decision. He even says that he doesn't really like my name either, anymore!
Some name choices for me were:
Yasmine
Rose
Camillia
Sara

I really love all of these names, and they were all chosen by my mother. Yet, my father decides to choose a name which is dangerously close to the pronunciation of female genitalia... and I've been teased and taunted about my name for years. I'm really losing self-confidence, and I refuse to use my real name on Facebook, Twitter, Instagram, Tumblr... you get the idea. My name means "Silver / Precious Stone", but no-one takes that into account. I've been called a numerous amount of stupid, rude nicknames / names, and when a teacher calls out my name in the Register, everyone laughs at me. Nobody pronounces my name right, not even half of my extended family! I'm just giving up on myself.
You see from the list above the name "Yasmine", well that's my second-first name. So I have a double barrel first name. I'd love to be called Yasmine, but I'm not going to attempt to convince anyone until my parents have legally signed all required documents for the changes to happen. The smallest I require is swapping the position of my first/second names (change my first name to Yasmine, rather than this one...). However, my parents refuse to do this, and I doubt waiting until the age of 18 is going to do me any justice, since I'll feel guilty that they're not going along with the idea. My first name begins with "L", by the way, and my screen name ranges from Luchia, Lucy, Lulu, Lana, Laura, Lacy... etc. All kinds of names, basically, and I'd be happen to have any of them in return for my real name.
Another main issue is how my religion doesn't allow any of those names. I'm a muslim, so if anyone knows any suitable Islamic names beginning with L, that would also come in handy. I've told my closest friends about the issue, who also tease me about my name, and agree that Yasmine's a much better name and suits me much more. Some people find my name "exotic" but I just don't see it, at all. Help me out here; I'm all alone on this one!
My name is Loujaina by the way. *Loo-jay-na*