Atkin-Lehner |
2- 7+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614r |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
13433472 |
Modular degree for the optimal curve |
Δ |
-1.321611547844E+24 |
Discriminant |
Eigenvalues |
2- -2 -1 7+ -3 13+ 5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26818184,14207817792] |
[a1,a2,a3,a4,a6] |
Generators |
[1486:238718:1] |
Generators of the group modulo torsion |
j |
15473133995901959/9586725707776 |
j-invariant |
L |
5.580920276851 |
L(r)(E,1)/r! |
Ω |
0.053047480145899 |
Real period |
R |
8.0927794987868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614i1 |
Quadratic twists by: 13 |