Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296v |
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 |
[-87:1008:1] |
Generators of the group modulo torsion |
j |
911826451873/35524608 |
j-invariant |
L |
5.0059633161917 |
L(r)(E,1)/r! |
Ω |
0.72308052900063 |
Real period |
R |
3.461553115051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bm1 2478e1 |
Quadratic twists by: -4 8 |