Atkin-Lehner |
2+ 3+ 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782a |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82560 |
Modular degree for the optimal curve |
Δ |
332722455516 = 22 · 315 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 11+ 7 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4956,129348] |
[a1,a2,a3,a4,a6] |
j |
13466493319607497/332722455516 |
j-invariant |
L |
1.9208541269645 |
L(r)(E,1)/r! |
Ω |
0.9604270634873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346cf1 |
Quadratic twists by: -3 |