Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126324p |
Isogeny class |
Conductor |
126324 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
1160130842424576 = 28 · 36 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- -5 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31944,1464100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1210:1] |
Generators of the group modulo torsion |
j |
90112/29 |
j-invariant |
L |
9.0397683908771 |
L(r)(E,1)/r! |
Ω |
0.45046964830613 |
Real period |
R |
1.1148572496148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14036c1 126324i1 |
Quadratic twists by: -3 -11 |