Atkin-Lehner |
2- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16456o |
Isogeny class |
Conductor |
16456 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48576 |
Modular degree for the optimal curve |
Δ |
7054979491472 = 24 · 1110 · 17 |
Discriminant |
Eigenvalues |
2- -2 -4 2 11- -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4880,-31451] |
[a1,a2,a3,a4,a6] |
j |
30976/17 |
j-invariant |
L |
1.221133996885 |
L(r)(E,1)/r! |
Ω |
0.61056699844249 |
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 |
32912n1 16456f1 |
Quadratic twists by: -4 -11 |