Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dx |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1634611249152 = 214 · 37 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3036,-19024] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:196:1] |
Generators of the group modulo torsion |
j |
259108432/136857 |
j-invariant |
L |
4.2510872615915 |
L(r)(E,1)/r! |
Ω |
0.6825215876277 |
Real period |
R |
1.5571255689919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cn1 19152q1 25536br1 |
Quadratic twists by: -4 8 -3 |