Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
15664g |
Isogeny class |
Conductor |
15664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-4009984 = -1 · 212 · 11 · 89 |
Discriminant |
Eigenvalues |
2- -2 3 0 11- -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,99] |
[a1,a2,a3,a4,a6] |
j |
32768/979 |
j-invariant |
L |
1.8625875046721 |
L(r)(E,1)/r! |
Ω |
1.8625875046721 |
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 |
979a1 62656q1 |
Quadratic twists by: -4 8 |