Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cu |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
23978401092072000 = 26 · 316 · 53 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-94437,-8299179] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:1323:1] |
Generators of the group modulo torsion |
j |
1022151580532837/263137460544 |
j-invariant |
L |
5.2070735377359 |
L(r)(E,1)/r! |
Ω |
0.27752279891566 |
Real period |
R |
1.1726679659493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30450df1 91350fg1 |
Quadratic twists by: -3 5 |