Atkin-Lehner |
2- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
25232i |
Isogeny class |
Conductor |
25232 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-193542762496 = -1 · 212 · 193 · 832 |
Discriminant |
Eigenvalues |
2- -2 1 -3 -3 -6 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,475,20947] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:83:1] |
Generators of the group modulo torsion |
j |
2887553024/47251651 |
j-invariant |
L |
2.3360700922882 |
L(r)(E,1)/r! |
Ω |
0.74900986405498 |
Real period |
R |
1.5594388034099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1577a1 100928bc1 |
Quadratic twists by: -4 8 |