Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048bo |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-1.7680268176535E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 2 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-781779,-334234478] |
[a1,a2,a3,a4,a6] |
Generators |
[10885736355:-304120683712:7414875] |
Generators of the group modulo torsion |
j |
-17696534894747857/5921086039488 |
j-invariant |
L |
8.8663346641443 |
L(r)(E,1)/r! |
Ω |
0.07893986587785 |
Real period |
R |
14.039697421928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12006g1 32016z1 |
Quadratic twists by: -4 -3 |