Atkin-Lehner |
2- 11+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
125488g |
Isogeny class |
Conductor |
125488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-22615949312 = -1 · 218 · 112 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 1 2 1 11+ -4 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-192,-7372] |
[a1,a2,a3,a4,a6] |
j |
-192100033/5521472 |
j-invariant |
L |
2.0923541895093 |
L(r)(E,1)/r! |
Ω |
0.52308875141931 |
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 |
15686g1 |
Quadratic twists by: -4 |