Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296w |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
3948662945354416128 = 216 · 311 · 78 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13909953,19963228959] |
[a1,a2,a3,a4,a6] |
Generators |
[1923:18144:1] |
Generators of the group modulo torsion |
j |
4541724645902232578500/60251814962073 |
j-invariant |
L |
8.4521800820747 |
L(r)(E,1)/r! |
Ω |
0.22567254766513 |
Real period |
R |
0.42560560381277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bh1 9912d1 |
Quadratic twists by: -4 8 |