Atkin-Lehner |
3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
73689q |
Isogeny class |
Conductor |
73689 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3020160 |
Modular degree for the optimal curve |
Δ |
1.6920290857547E+21 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 11- 0 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3932661,-2255658505] |
[a1,a2,a3,a4,a6] |
j |
31379200581566464/7893440560341 |
j-invariant |
L |
0.43675780895779 |
L(r)(E,1)/r! |
Ω |
0.10918944416784 |
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 |
73689b1 |
Quadratic twists by: -11 |