Atkin-Lehner |
2- 3- 43+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904l |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
32231424 = 212 · 3 · 43 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -4 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19925,-1089213] |
[a1,a2,a3,a4,a6] |
j |
213589820440576/7869 |
j-invariant |
L |
0.40183473630549 |
L(r)(E,1)/r! |
Ω |
0.40183536591263 |
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 |
7869b1 |
Quadratic twists by: -4 |