Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350cs |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
2923081275985920000 = 215 · 315 · 54 · 73 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-646542,-182247084] |
[a1,a2,a3,a4,a6] |
Generators |
[-2970:21897:8] |
Generators of the group modulo torsion |
j |
65600442865402225/6415541895168 |
j-invariant |
L |
5.7147011055209 |
L(r)(E,1)/r! |
Ω |
0.16942324319526 |
Real period |
R |
2.8108604387159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450dd1 91350ec1 |
Quadratic twists by: -3 5 |