Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
94864bw |
Isogeny class |
Conductor |
94864 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
-2488915652608 = -1 · 212 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4235,-130438] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1288:1] [154:1694:1] |
Generators of the group modulo torsion |
j |
-3375 |
j-invariant |
L |
11.118086226599 |
L(r)(E,1)/r! |
Ω |
0.29145770592423 |
Real period |
R |
4.7683102900227 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5929e1 94864bw3 784h1 |
Quadratic twists by: -4 -7 -11 |