I bought a e260r about two or three years ago. Is it about the time the battery died?
I had a few problems with it before, such as when it became frozen an unresponsive state with the lights on, which I fixed by just momentarily pulling out the battery. I've sometimes fully drained the battery in which it would auto shutdown and trying to restart it would give a low battery warning and shut down again. I used it unroutinely, mostly on workout days.
I'm afraid the "dirty" car power did something bad to the internals by charging it using a Belkin car adapter once on a long road trip. Using it on a full charge, it "died" about 30 minutes out on a bike ride heading up a mountain. It wouldn't turn on at all. It worked again once I got home and pulling out the battery for a second and indicated a full charge. It happened again after maybe 10 minutes on another occasion, when I was just starting to lift weights. I didn't "reseat" the battery this time, but left it sit a couple of days unused and just plugged it into my computer and my computer recognizes it fine and is still charging after 30 minutes or so (the time to search through articles on this subject and register here).
I assume the battery is dying because this is what I'd do with my other portables to get the last tiny bit of juice out of the batteries, like on a TV remote or my old original Gameboy when I was a kid.
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I tried to use it again tonight, just relaxing, and it "died" after 30-45 minutes. It won't turn on again. I have it plugged into the computer and it is staying dead. There goes the theory that bumps and jostling makes it go out. I bet if I reseat the battery, it'll work again.