Atkin-Lehner |
2- 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25172j |
Isogeny class |
Conductor |
25172 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
52460159696 = 24 · 76 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 0 2 7- 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9404,-350835] |
[a1,a2,a3,a4,a6] |
Generators |
[6861:99820:27] |
Generators of the group modulo torsion |
j |
5748328658976768/3278759981 |
j-invariant |
L |
6.6840795477526 |
L(r)(E,1)/r! |
Ω |
0.48482640850857 |
Real period |
R |
4.5955139340932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100688t1 |
Quadratic twists by: -4 |