French-to-English translation of paper

Question

I am currently reading a mathematical paper in French and I am not sure how to translate the following sentence:

On suppose que la premiere classe de Chern $c_1(N)$ est $p\alpha$ ou $p$ est un entier plus grand que un et $\alpha$ une classe entiere non divisible;

Here is my best guess:

Suppose the first Chern class $c_1(N)$ is $p\alpha$ where $p$ is an integer $>1$ and ... (?)

Any help would be great!

(Apologies for the missed out accents!)

Answer 1

At the request of @rghthndsd , I'll make my comment into an answer, albeit a community wiki one.
A possible translation is:

Suppose the first Chern class $c_1(N)$ is $p\alpha$ where $p$ is an integer larger than one and $\alpha$ a non divisible integral class;

Beware that for French authors "larger than one" might mean $\geq 1$.