I need help determining what is wrong with my left turn signal.

As I said, I need help with figuring out what is wrong with my left turn signal. When I turn the turn switch down to activate the left blinkers they don't go on, but I don't think it's the relay because the right turn signals work alright. It flashes fast, but they're good. Also, the left turn arrow in the dash is always lit, even when I don't have the left blinker on. The light doesn't blink or anything, it just stays on all the time. What could it be?