Atkin-Lehner |
2+ 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704w |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
21648384 = 210 · 36 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-336,-2360] |
[a1,a2,a3,a4,a6] |
j |
5619712/29 |
j-invariant |
L |
1.1154488110625 |
L(r)(E,1)/r! |
Ω |
1.1154488110625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16704cp1 1044h1 1856e1 |
Quadratic twists by: -4 8 -3 |