Try a Hard Reset
Often times people will tell you that the first thing you should try when troubleshooting a device that used to work but does no longer is restarting the computer, and unplugging/replugging everything when it's shut down. This has a lot of truth to it, but it doesn't always work as you would hope. That's why, now, people will recommend doing a "hard reset," which is similar in idea but a lot more thorough in kick-starting everything back into default order.
To do this on the e310, you'll want to shut down your computer, unplug all of the cords attached to it (including the power cord), and open up the side panel so you can see inside. Refer to the diagram on the left and locate the battery socket, which is indicated by the number "15'". Once you find it, pry it out using your fingers or another non-conducting object. This means no materials made from metal or covered in water. Be moderately careful, but it's pretty hard to goof up this part.
You have two choices here: Either wait a minute and put the old battery back in, or go out and buy a new battery to use. If you choose the latter of these two, make sure it's a proprietary Dell battery so it doesn't explode when you put it in the computer. And I'm serious about that.
After replacing the battery, put everything back together and start it up to see if it fixed anything.