A quick calculation shows that if you only consider heating up our atmosphere and assume an entire switch of all our energy consumption to nuclear energy you end up with a temperature rise of 0.1 deg C per year. I know it is a worst-case scenario - energy will be stored in land/water as well, dissipation etc. - but still.
Compared to fossil fuels, the plus side is you do not produce any greenhouse gases. However, I'm unsure which contributes more to global warming, could well be the former is negligible. Would love to hear an expert on this.