Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
3216l |
Isogeny class |
Conductor |
3216 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-66686976 = -1 · 212 · 35 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 3 0 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12712,-555916] |
[a1,a2,a3,a4,a6] |
j |
-55467626237353/16281 |
j-invariant |
L |
2.2480876165628 |
L(r)(E,1)/r! |
Ω |
0.22480876165628 |
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 |
201c1 12864bc1 9648t1 80400bv1 |
Quadratic twists by: -4 8 -3 5 |