Atkin-Lehner |
2- 3+ 11- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
74646bc |
Isogeny class |
Conductor |
74646 |
Conductor |
∏ cp |
800 |
Product of Tamagawa factors cp |
deg |
5913600 |
Modular degree for the optimal curve |
Δ |
4.7242985184424E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11- 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15042647,22435506415] |
[a1,a2,a3,a4,a6] |
Generators |
[2611:-32194:1] |
Generators of the group modulo torsion |
j |
19125164759187191992587/24001923072917504 |
j-invariant |
L |
7.1217284992285 |
L(r)(E,1)/r! |
Ω |
0.16579033844629 |
Real period |
R |
0.21478116778745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74646a1 |
Quadratic twists by: -3 |