Atkin-Lehner |
3- 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
15975p |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-28255015698046875 = -1 · 315 · 58 · 712 |
Discriminant |
Eigenvalues |
0 3- 5- -5 2 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5061000,4382312656] |
[a1,a2,a3,a4,a6] |
Generators |
[1150:9112:1] |
Generators of the group modulo torsion |
j |
-50343703509729280/99222003 |
j-invariant |
L |
2.749936935648 |
L(r)(E,1)/r! |
Ω |
0.32111594263529 |
Real period |
R |
0.35682035812883 |
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 |
5325d1 15975f1 |
Quadratic twists by: -3 5 |