Atkin-Lehner |
2- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
27376j |
Isogeny class |
Conductor |
27376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
146880 |
Modular degree for the optimal curve |
Δ |
918586130432 = 229 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 2 0 2 -5 -5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227128,41739120] |
[a1,a2,a3,a4,a6] |
j |
316357187835741625/224264192 |
j-invariant |
L |
2.9330603819439 |
L(r)(E,1)/r! |
Ω |
0.73326509548606 |
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 |
3422c1 109504o1 |
Quadratic twists by: -4 8 |