Atkin-Lehner |
3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bf |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
16011962118673785 = 310 · 5 · 119 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2320682,-1360134696] |
[a1,a2,a3,a4,a6] |
j |
804097557899/9315 |
j-invariant |
L |
0.48927800798041 |
L(r)(E,1)/r! |
Ω |
0.12231957479786 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41745a1 125235be1 |
Quadratic twists by: -3 -11 |