Atkin-Lehner |
2- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710bb |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
16109714028953600 = 216 · 52 · 11 · 197 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-70102,3725029] |
[a1,a2,a3,a4,a6] |
j |
809818183161/342425600 |
j-invariant |
L |
2.8315556447506 |
L(r)(E,1)/r! |
Ω |
0.35394445560928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2090h1 |
Quadratic twists by: -19 |