Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864g |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
169454075904 = 222 · 32 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5729,167649] |
[a1,a2,a3,a4,a6] |
j |
79340706073/646416 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
12864bj2 402b2 38592z2 |
Quadratic twists by: -4 8 -3 |