Atkin-Lehner |
5+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67925d |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
42453125 = 56 · 11 · 13 · 19 |
Discriminant |
Eigenvalues |
0 2 5+ 1 11+ 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-19833,1081693] |
[a1,a2,a3,a4,a6] |
j |
55219290112000/2717 |
j-invariant |
L |
3.0394212853244 |
L(r)(E,1)/r! |
Ω |
1.5197106518442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2717c1 |
Quadratic twists by: 5 |