Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12816c |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-49828608 = -1 · 28 · 37 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 2 2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-340] |
[a1,a2,a3,a4,a6] |
j |
-1024/267 |
j-invariant |
L |
1.7924203965392 |
L(r)(E,1)/r! |
Ω |
0.89621019826961 |
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 |
6408b1 51264bd1 4272b1 |
Quadratic twists by: -4 8 -3 |