Pixelated edges on curvy vector shapes (imported from illustrator)

Hey

I have an issue and it goes like this:

I imported my illustrator-file, as the composition into After Effects. The images consisted on vector layers. I then then used "create shapes from vector layer" on each layer.

Now, both in AE but also when rendering, the curvy lines appear excessively pixelated and not sharp. Which is of course not acceptable. Continous rasterzation is turned on for every layer. I have also tried increasing the motion blur, when rendering

The dark green shadow appears in particular pixelated. This shape i edited a lot in AE - can this be the reason?

Otherwise please notice both the dark blue, dark green and yellow diagonal lines (from the light on the ground) i the quicktime frame.

I hope someone can help me, I've been skating around various forums bit I still haven't found a sufficient answer.

Thank you so much