Atkin-Lehner |
2- 3- 5+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870bb |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
525312 |
Modular degree for the optimal curve |
Δ |
1661172710062500 = 22 · 36 · 56 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-30173,-465919] |
[a1,a2,a3,a4,a6] |
j |
4167140736909961/2278700562500 |
j-invariant |
L |
6.1902877567993 |
L(r)(E,1)/r! |
Ω |
0.38689298131566 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9430f1 |
Quadratic twists by: -3 |