Atkin-Lehner |
5+ 7- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
71225g |
Isogeny class |
Conductor |
71225 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
250925007265625 = 57 · 72 · 116 · 37 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15813,68992] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:625:1] [147:889:1] |
Generators of the group modulo torsion |
j |
27986475935881/16059200465 |
j-invariant |
L |
4.7180372620308 |
L(r)(E,1)/r! |
Ω |
0.47360657345199 |
Real period |
R |
1.6603222754298 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14245c1 |
Quadratic twists by: 5 |