Atkin-Lehner |
3- 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
23925bc |
Isogeny class |
Conductor |
23925 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
1788008333203125 = 315 · 58 · 11 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 11+ -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-231958,42873994] |
[a1,a2,a3,a4,a6] |
Generators |
[-517:4987:1] [2314:-2029:8] |
Generators of the group modulo torsion |
j |
3533406602506240/4577301333 |
j-invariant |
L |
4.6841946764041 |
L(r)(E,1)/r! |
Ω |
0.46937816848321 |
Real period |
R |
0.22176833525846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71775ca1 23925c1 |
Quadratic twists by: -3 5 |