Atkin-Lehner |
2- 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692bh |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
2100 |
Product of Tamagawa factors cp |
deg |
10483200 |
Modular degree for the optimal curve |
Δ |
5.2397074406431E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -6 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184717893,966236310821] |
[a1,a2,a3,a4,a6] |
Generators |
[7783:-5733:1] [-11327:1266993:1] |
Generators of the group modulo torsion |
j |
59758969463876165251991296/4492204595887421049 |
j-invariant |
L |
9.5638049951864 |
L(r)(E,1)/r! |
Ω |
0.10691264704792 |
Real period |
R |
0.042597325766423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564g1 |
Quadratic twists by: -3 |