Atkin-Lehner |
3- 5+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925t |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
5430515625 = 32 · 56 · 232 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-613,4592] |
[a1,a2,a3,a4,a6] |
j |
1630532233/347553 |
j-invariant |
L |
2.5630962436877 |
L(r)(E,1)/r! |
Ω |
1.2815477948129 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5037f1 |
Quadratic twists by: 5 |