Atkin-Lehner |
3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975f |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1808321004675 = -1 · 315 · 52 · 712 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 2 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-202440,35058501] |
[a1,a2,a3,a4,a6] |
j |
-50343703509729280/99222003 |
j-invariant |
L |
2.8721483055657 |
L(r)(E,1)/r! |
Ω |
0.71803707639143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5325l1 15975p1 |
Quadratic twists by: -3 5 |