Atkin-Lehner |
2- 3+ 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bn |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
3126982851562500 = 22 · 39 · 510 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58538,4755781] |
[a1,a2,a3,a4,a6] |
Generators |
[2174:22723:8] |
Generators of the group modulo torsion |
j |
1127039416868763/158867187500 |
j-invariant |
L |
7.7009893715261 |
L(r)(E,1)/r! |
Ω |
0.43150288535022 |
Real period |
R |
4.4617253053041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290e1 |
Quadratic twists by: -3 |