Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864bn |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-5531284537344 = -1 · 222 · 39 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9249,-363681] |
[a1,a2,a3,a4,a6] |
j |
-333822098953/21100176 |
j-invariant |
L |
4.3654559008648 |
L(r)(E,1)/r! |
Ω |
0.24252532782582 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12864c1 3216d1 38592ch1 |
Quadratic twists by: -4 8 -3 |