I am attempting to understand ElGamal Encryption on Elliptic Curves (beginnning of this paper)
I have an elliptic curve $E\left( \mathbb{F}_{11} \right)$ defined by $y^2 = x^3 + 2x + 3$
I need to choose a point $P$ on $E\left(\mathbb{F}_{11}\right)$ of prime order $n$
I haven't been able to find anything to help me understand what is meant by 'prime order $n$'. Can someone point me in the direction of anything useful or explain to me how to find such a point $P$ please?
I am a computer scientist, so assume limited knowledge of any complex maths/theorems - all my knowledge on elliptic curves is self-taught through Googling...