Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864g |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5690621952 = 220 · 34 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-91489,10681825] |
[a1,a2,a3,a4,a6] |
j |
323068919441113/21708 |
j-invariant |
L |
1.0233588400471 |
L(r)(E,1)/r! |
Ω |
1.0233588400471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12864bj3 402b3 38592z4 |
Quadratic twists by: -4 8 -3 |