Atkin-Lehner |
2- 3- 5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80910s |
Isogeny class |
Conductor |
80910 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
37833928187904000 = 216 · 311 · 53 · 292 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-154283,21404027] |
[a1,a2,a3,a4,a6] |
j |
557118743481769321/51898392576000 |
j-invariant |
L |
5.6817620642814 |
L(r)(E,1)/r! |
Ω |
0.35511012716471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26970h1 |
Quadratic twists by: -3 |