Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864z |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-12864 = -1 · 26 · 3 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 0 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,-6] |
[a1,a2,a3,a4,a6] |
j |
85184/201 |
j-invariant |
L |
2.0654343618203 |
L(r)(E,1)/r! |
Ω |
2.0654343618203 |
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 |
12864bm1 6432h1 38592bs1 |
Quadratic twists by: -4 8 -3 |