Atkin-Lehner |
2+ 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117312bc |
Isogeny class |
Conductor |
117312 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48660480 |
Modular degree for the optimal curve |
Δ |
-1.1126175679306E+26 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -3 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,69660575,-455466804481] |
[a1,a2,a3,a4,a6] |
j |
142608347930492655397991/424429919407109820672 |
j-invariant |
L |
1.0940006964624 |
L(r)(E,1)/r! |
Ω |
0.030388908773901 |
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 |
117312cb1 3666f1 |
Quadratic twists by: -4 8 |