Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9648p |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-153646792704 = -1 · 220 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- -1 3 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,-19046] |
[a1,a2,a3,a4,a6] |
j |
-1771561/51456 |
j-invariant |
L |
1.7839282289927 |
L(r)(E,1)/r! |
Ω |
0.44598205724817 |
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 |
1206d1 38592bt1 3216j1 |
Quadratic twists by: -4 8 -3 |