Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248cj |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
495307212101517312 = 232 · 312 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523731,141900946] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:12636:1] |
Generators of the group modulo torsion |
j |
5320605737038033/165877383168 |
j-invariant |
L |
4.4836377120032 |
L(r)(E,1)/r! |
Ω |
0.29295660924245 |
Real period |
R |
3.826196073539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906b1 124992gt1 10416bo1 |
Quadratic twists by: -4 8 -3 |