Atkin-Lehner |
2- 3- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
57936w |
Isogeny class |
Conductor |
57936 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
581133595016429568 = 225 · 315 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 3 -5 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-532761416,4732939638132] |
[a1,a2,a3,a4,a6] |
j |
4082837157516340847666290249/141878319095808 |
j-invariant |
L |
4.6498368678292 |
L(r)(E,1)/r! |
Ω |
0.15499456231132 |
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 |
7242d1 |
Quadratic twists by: -4 |