Atkin-Lehner |
3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113715x |
Isogeny class |
Conductor |
113715 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
56401920 |
Modular degree for the optimal curve |
Δ |
-4.7200204349539E+27 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,407359552,954601135706] |
[a1,a2,a3,a4,a6] |
j |
217975805967584185919/137624180157363375 |
j-invariant |
L |
0.43120573656265 |
L(r)(E,1)/r! |
Ω |
0.02695035674669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37905w1 5985n1 |
Quadratic twists by: -3 -19 |