Atkin-Lehner |
2- 3+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296bm |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
9312562839552 = 230 · 3 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12929,-542175] |
[a1,a2,a3,a4,a6] |
Generators |
[-4316:8701:64] |
Generators of the group modulo torsion |
j |
911826451873/35524608 |
j-invariant |
L |
5.3313800492503 |
L(r)(E,1)/r! |
Ω |
0.44879367913211 |
Real period |
R |
5.9396781843066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999978599 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296v1 19824y1 |
Quadratic twists by: -4 8 |