Atkin-Lehner |
2- 3- 11- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
97614bo |
Isogeny class |
Conductor |
97614 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
8306688 |
Modular degree for the optimal curve |
Δ |
-1.977447429454E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6371275,2729464013] |
[a1,a2,a3,a4,a6] |
j |
39235148423219858960375/27125479142030573568 |
j-invariant |
L |
7.3849147148331 |
L(r)(E,1)/r! |
Ω |
0.07692619502581 |
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 |
32538g1 |
Quadratic twists by: -3 |