Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944br |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-193921744896 = -1 · 216 · 38 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -2 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1293,-11342] |
[a1,a2,a3,a4,a6] |
Generators |
[9:32:1] |
Generators of the group modulo torsion |
j |
80062991/64944 |
j-invariant |
L |
7.0949738888884 |
L(r)(E,1)/r! |
Ω |
0.55823843896795 |
Real period |
R |
1.5886970050488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118c1 21648z1 |
Quadratic twists by: -4 -3 |