Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
125400bf |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3612672 |
Modular degree for the optimal curve |
Δ |
2771866582031250000 = 24 · 32 · 513 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5826283,-5414318062] |
[a1,a2,a3,a4,a6] |
Generators |
[2893:44175:1] |
Generators of the group modulo torsion |
j |
87490017893914691584/11087466328125 |
j-invariant |
L |
6.5285741903698 |
L(r)(E,1)/r! |
Ω |
0.097175091230487 |
Real period |
R |
4.1989760979219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080k1 |
Quadratic twists by: 5 |