Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190bp |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
1920 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1.2947580802956E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6480392,-3215030709] |
[a1,a2,a3,a4,a6] |
Generators |
[-1629:55739:1] |
Generators of the group modulo torsion |
j |
41285728533151645510969/17760741842188800000 |
j-invariant |
L |
6.4142961735143 |
L(r)(E,1)/r! |
Ω |
0.098382352148794 |
Real period |
R |
0.54331358160432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520en1 2730c1 40950bn1 57330ec1 |
Quadratic twists by: -4 -3 5 -7 |