Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
19296s |
Isogeny class |
Conductor |
19296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-600182784 = -1 · 212 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 0 -4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [2:36:1] |
Generators of the group modulo torsion |
j |
85184/201 |
j-invariant |
L |
6.8375066222966 |
L(r)(E,1)/r! |
Ω |
1.1353369455203 |
Real period |
R |
0.7528058794874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19296n1 38592bs1 6432h1 |
Quadratic twists by: -4 8 -3 |