Atkin-Lehner |
2- 7+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
124432f |
Isogeny class |
Conductor |
124432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
271580698129664 = 28 · 72 · 118 · 101 |
Discriminant |
Eigenvalues |
2- 2 1 7+ 11+ 3 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-119245,-15789711] |
[a1,a2,a3,a4,a6] |
Generators |
[585480:18755121:512] |
Generators of the group modulo torsion |
j |
732500495153668096/1060862102069 |
j-invariant |
L |
11.495225830168 |
L(r)(E,1)/r! |
Ω |
0.2569371958394 |
Real period |
R |
5.5924297291826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000112923 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31108g1 |
Quadratic twists by: -4 |