Atkin-Lehner |
2+ 3+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
12864j |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3200 |
Modular degree for the optimal curve |
Δ |
-1041984 = -1 · 26 · 35 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 6 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64,226] |
[a1,a2,a3,a4,a6] |
j |
-460099648/16281 |
j-invariant |
L |
2.7509862591515 |
L(r)(E,1)/r! |
Ω |
2.7509862591515 |
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 |
12864p1 6432f1 38592bh1 |
Quadratic twists by: -4 8 -3 |