Atkin-Lehner |
2- 3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14790v |
Isogeny class |
Conductor |
14790 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
2630809041408000 = 212 · 36 · 53 · 172 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53721,4103865] |
[a1,a2,a3,a4,a6] |
j |
17145749816087520529/2630809041408000 |
j-invariant |
L |
5.2370109800545 |
L(r)(E,1)/r! |
Ω |
0.43641758167121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
118320be1 44370s1 73950o1 |
Quadratic twists by: -4 -3 5 |