Transformation or C?

Let $f(x)={ x }^{ 2020 }+23{ x }^{ 2018 }+7$ have roots $a_i$ , where $i=1,2,3, ...2020$ . Let $p(x)$ be a polynomial of the same degree such that $p \left(a_i+\dfrac 1 {a_i } \right)=0$ . Find $\sqrt { \dfrac { 388p(0) }{ p(-1) } }$ .

Hint 1 : Find out what "C" is.

Hint 2 : It's not real numbers.