Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704dd |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-64945152 = -1 · 210 · 37 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 -1 3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-488] |
[a1,a2,a3,a4,a6] |
j |
-87808/87 |
j-invariant |
L |
3.0324598405669 |
L(r)(E,1)/r! |
Ω |
0.75811496014173 |
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 |
16704bi1 4176z1 5568bd1 |
Quadratic twists by: -4 8 -3 |