Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
125048bc |
Isogeny class |
Conductor |
125048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1858560 |
Modular degree for the optimal curve |
Δ |
1187346143390704528 = 24 · 717 · 11 · 29 |
Discriminant |
Eigenvalues |
2- -1 2 7- 11- 1 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-932192,-342122087] |
[a1,a2,a3,a4,a6] |
Generators |
[-1315288:2226953:2197] |
Generators of the group modulo torsion |
j |
47591793317892352/630767231017 |
j-invariant |
L |
6.6412156806856 |
L(r)(E,1)/r! |
Ω |
0.15376994816334 |
Real period |
R |
10.797323846515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999517561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864l1 |
Quadratic twists by: -7 |