Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728y |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-120235144572928 = -1 · 212 · 73 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9349,-396566] |
[a1,a2,a3,a4,a6] |
Generators |
[559:-13398:1] |
Generators of the group modulo torsion |
j |
22062729659823/29354283343 |
j-invariant |
L |
5.282184317056 |
L(r)(E,1)/r! |
Ω |
0.31412874729601 |
Real period |
R |
0.70063951518347 |
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 |
2233a1 |
Quadratic twists by: -4 |