If you were to put a straight line across the centre of each eye, and the outer corners seem to be above the line, you have upturned eyes. They can also be described as almond eyes with upturned outer corners, since they are very similar to these types of eyes.
This is usually an attractive eye shape. You will probably want to accentuate it, rather than do anything would detract from it.
How to achieve it
The best approach is the same as for almond-shaped eyes. The cat or the kitten eye effect are the best of the typical eyelash shapes for this. You are trying to accentuate the existing attractive look of the eyes, so you should have lower curls and long outer lashes, with an outer directional sweep.