Atkin-Lehner |
37+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
108151b |
Isogeny class |
Conductor |
108151 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2363904 |
Modular degree for the optimal curve |
Δ |
811091218061075557 = 379 · 792 |
Discriminant |
Eigenvalues |
-2 -1 0 5 -5 0 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-271518,33074520] |
[a1,a2,a3,a4,a6] |
j |
862801408000/316125373 |
j-invariant |
L |
1.0341990812601 |
L(r)(E,1)/r! |
Ω |
0.25854956779952 |
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 |
2923a1 |
Quadratic twists by: 37 |