Atkin-Lehner |
31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35557c |
Isogeny class |
Conductor |
35557 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
31556968385317 = 318 · 37 |
Discriminant |
Eigenvalues |
0 1 -2 -5 3 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-8969,-186977] |
[a1,a2,a3,a4,a6] |
Generators |
[413:8168:1] |
Generators of the group modulo torsion |
j |
89915392/35557 |
j-invariant |
L |
2.7448772278773 |
L(r)(E,1)/r! |
Ω |
0.50753032266329 |
Real period |
R |
2.7041509692201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1147a1 |
Quadratic twists by: -31 |