Atkin-Lehner |
2- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
25012b |
Isogeny class |
Conductor |
25012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
7726601389312 = 28 · 138 · 37 |
Discriminant |
Eigenvalues |
2- 3 0 -3 -3 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6760,-166972] |
[a1,a2,a3,a4,a6] |
j |
27648000/6253 |
j-invariant |
L |
3.210315640795 |
L(r)(E,1)/r! |
Ω |
0.53505260679915 |
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 |
100048j1 1924a1 |
Quadratic twists by: -4 13 |