Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624z |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576576 |
Modular degree for the optimal curve |
Δ |
-191899020653808 = -1 · 24 · 3 · 1310 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,-759511] |
[a1,a2,a3,a4,a6] |
Generators |
[14805204132:631388734579:8120601] |
Generators of the group modulo torsion |
j |
-43264/87 |
j-invariant |
L |
8.0837943568051 |
L(r)(E,1)/r! |
Ω |
0.22702365294253 |
Real period |
R |
17.803859316041 |
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 |
117624cc1 |
Quadratic twists by: 13 |