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 |
Δ |
-8719428929716224 = -1 · 230 · 33 · 673 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,51231,-496737] |
[a1,a2,a3,a4,a6] |
j |
56724909592967/33261981696 |
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 |
12864c2 3216d2 38592ch2 |
Quadratic twists by: -4 8 -3 |