Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704bb |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-22167945216 = -1 · 220 · 36 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 -1 -3 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684,-9936] |
[a1,a2,a3,a4,a6] |
j |
-185193/116 |
j-invariant |
L |
0.90778483008618 |
L(r)(E,1)/r! |
Ω |
0.45389241504309 |
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 |
16704ct1 522l1 1856f1 |
Quadratic twists by: -4 8 -3 |