simple question about the degree of a divisor on riemann surface

Question

Let $C=H \cap S$ where $S$ is a surface of general type canonically embedded in $\mathbb{P}^N$ for some $N>0$ and $H$ the divisor of an hyperplane in $\mathbb{P}^N$. $H_{|C}$ is a divisor on $C$.
What is the degree of it?

Answer 1

The degree is $(H\cdot H)$, the self-intersection number.