Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975n |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280640 |
Modular degree for the optimal curve |
Δ |
4.7585515555729E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 5 -2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19741055,32092195322] |
[a1,a2,a3,a4,a6] |
Generators |
[-431854830:42906538012:166375] |
Generators of the group modulo torsion |
j |
119510811483499825/6684165696717 |
j-invariant |
L |
3.4865294979962 |
L(r)(E,1)/r! |
Ω |
0.11151039983584 |
Real period |
R |
15.633203284756 |
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 |
5325i1 15975w1 |
Quadratic twists by: -3 5 |