Atkin-Lehner |
5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12425b |
Isogeny class |
Conductor |
12425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-344599609375 = -1 · 510 · 7 · 712 |
Discriminant |
Eigenvalues |
-1 2 5+ 7+ -4 -4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1687,-8594] |
[a1,a2,a3,a4,a6] |
Generators |
[5756:433878:1] |
Generators of the group modulo torsion |
j |
33980740919/22054375 |
j-invariant |
L |
3.5814862280676 |
L(r)(E,1)/r! |
Ω |
0.54846876312706 |
Real period |
R |
6.5299730246222 |
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 |
111825n1 2485e1 86975k1 |
Quadratic twists by: -3 5 -7 |