Do you have DRLs or no DRLs?
Only on the left, and you said the front and rear lights DO illuminate when you put the left turn signals on? Correct?
If that is the case, I would have to agree it sounds like a flasher unit, however, since these are about a $40 item, I think I would change out the bulbs first, as others have mentioned. If it's not the bulb causing it, you'll have some spares now. It's always good to have spares on hand anyway.
I ran into a similar problem recently where mine flashed really fast on the right side, so I figured I had a bad bulb. I changed out the front bulb (as that wasn't lighting some of the time - intermittent problem). The bulb didn't fix it. It actually turned out to be a build-up of corrosion, or what ever on the terminal for the front bulb. I had to take a small file and get the crap off. This probably won't be the case if your lamp is still working though.
If you do scrape the crap off of the contacts, make sure you use some dielectric grease on it or you will get corrosion on it again.