Atkin-Lehner |
7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
2597c |
Isogeny class |
Conductor |
2597 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1848 |
Modular degree for the optimal curve |
Δ |
14971188197 = 710 · 53 |
Discriminant |
Eigenvalues |
1 -2 0 7- -3 5 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-16075] |
[a1,a2,a3,a4,a6] |
j |
765625/53 |
j-invariant |
L |
0.80633469041891 |
L(r)(E,1)/r! |
Ω |
0.80633469041891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41552bi1 23373i1 64925k1 2597a1 |
Quadratic twists by: -4 -3 5 -7 |