I had bad luck with a 45" Sharp Aquos and vowed to never buy from Sharp again. Anyway, you can go to www.sharpusa.com (assuming you live in the US) and search for the owners manual for your model, or try looking at the FAQs as well. However a quick Bing search shows that the blinking green light usually means a bad power board, which seems to be a pretty common problem in Sharp LCD TVs for some reason:
"bought the tv from best buy, and brought it home and attempted to hook it up. No picture, no sound, just a black screen and two blinking green lights at the bottom of the tv. Geek squad came out and told me it was the power board. Looking at the other reviews, this seems like a very common thread with this tv. "
I would imagine replacing the power board wouldn't be too expensive, assuming Sharp still has the parts (they tend to discontinue parts manufacturing as soon as they discontinue the model). I'd look up a local authorized repair shop on the above Sharp website and give them a call.