It says "version 1.5.0.10" right up at the top. That's pretty old -- perhaps you should upgrade?
I can run Flash on 64bit with an adapter library "libflashsupport" but I'm on Ubuntu so my instructions would probably not work for you. Still, you might want to look at the Ubuntu Wiki and see if the information there helps.
https://help.ubuntu.com/community/Re...dFormats/Flash is pretty specific to Ubuntu but there are various useful bits and pieces elsewhere on that wiki, too.