Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Question 1: The $L$-functon $L(E/\mathbf{Q},s)$ is a product over $L_p(E/\mathbf{Q},s) := 1/(1-a_pp^{-s}+p^{1-2s})$. Now plug in $s=1$ and use $p+1 - |E(\mathbf{F}_p)| = a_p$. (This is only a heuristic.)
Question 1: The $L$-functon $L(E/\mathbf{Q},s)$ is a product over $L_p(E/\mathbf{Q},s) := 1/(1-a_pp^{-s}+p^{1-2s})$. Now plug in $s=1$ and use $p+1 - |E(\mathbf{F}_p)| = a_p$.
Question 1: The $L$-functon $L(E/\mathbf{Q},s)$ is a product over $L_p(E/\mathbf{Q},s) := 1/(1-a_pp^{-s}+p^{1-2s})$. Now plug in $s=1$ and use $p+1 - |E(\mathbf{F}_p)| = a_p$. (This is only a heuristic.)
Question 1: The $L$-functon $L(E/\mathbf{Q},s)$ is a product over $L_p(E/\mathbf{Q},s) := 1/(1-a_pp^{-s}+p^{1-2s})$. Now plug in $s=1$ and use $p+1 - |E(\mathbf{F}_p)| = a_p$.
