Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864bn |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3620894100405878784 = -1 · 254 · 3 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-656289,223967199] |
[a1,a2,a3,a4,a6] |
j |
-119253141177582313/13812614823936 |
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 |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12864c3 3216d3 38592ch3 |
Quadratic twists by: -4 8 -3 |