The (currently only) answer to Why did Sputnik 1 have four antennas? discusses how Sputnik 1 had four antennas in order to ensure that the Earth would never be in the null of any of its antennas.
PearsonArtPhoto's answer specifically states that
[Sputnik] was set up before we had an understanding of how difficult it would be to maintain a satellite's position, and in fact was a very simple system overall.
This would seem to beg the question, did Sputnik 1 have any attitude control at all? (By means of thrusters or otherwise.) Or was it simply tumbling along in its orbit in whatever attitude and roll rates it happened to end up in after booster separation?