Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864bb |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1896873984 = 220 · 33 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2369,-43551] |
[a1,a2,a3,a4,a6] |
j |
5611284433/7236 |
j-invariant |
L |
0.68434743458921 |
L(r)(E,1)/r! |
Ω |
0.68434743458921 |
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 |
12864u1 3216k1 38592bw1 |
Quadratic twists by: -4 8 -3 |