Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600bl |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7223040 |
Modular degree for the optimal curve |
Δ |
-2.4774765430572E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 0 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12173333,-28991532963] |
[a1,a2,a3,a4,a6] |
Generators |
[22955470049513969995593520220285427094074036:1674632077719775443665584988559429310375132583:3072391278396493860498175933821494763087] |
Generators of the group modulo torsion |
j |
-4987607429939200/6193691357643 |
j-invariant |
L |
5.2229384280585 |
L(r)(E,1)/r! |
Ω |
0.038598604860535 |
Real period |
R |
67.657088215107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5475f1 87600cs1 |
Quadratic twists by: -4 5 |