Though it may be a bit late, it may still be of interest for everyone not yet having the latest firmware version for their E71. In earlier versions there were some issues with the integrated camera, probably related to the automatic white balance, as the produced images very often had a purple tint to them. This issue has been fixed in version 300.21.012. Look here or here for an example.
Note that not the whole issue has been fixed: I still experience the same problem when recording two consecutive videos. The first one is just nice, the second one gets the purple tint.