Atkin-Lehner |
3- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425i |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-34102975543171875 = -1 · 35 · 56 · 194 · 413 |
Discriminant |
Eigenvalues |
2 3- 5+ 2 -5 -2 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,71792,4935619] |
[a1,a2,a3,a4,a6] |
j |
2618941474304000/2182590434763 |
j-invariant |
L |
4.7634612428395 |
L(r)(E,1)/r! |
Ω |
0.23817306247713 |
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 |
2337a1 |
Quadratic twists by: 5 |