Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105966r |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39087360 |
Modular degree for the optimal curve |
Δ |
2.2664663889276E+26 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 6 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-182318445,-610832865371] |
[a1,a2,a3,a4,a6] |
Generators |
[-7310621330405282850:606836105454469470737:1076102848421875] |
Generators of the group modulo torsion |
j |
1837824455085361/621495189504 |
j-invariant |
L |
4.7336498397932 |
L(r)(E,1)/r! |
Ω |
0.042209338286048 |
Real period |
R |
28.036745137497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322v1 105966bs1 |
Quadratic twists by: -3 29 |