Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704l |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-251683766009856 = -1 · 219 · 39 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 0 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3564,767664] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:783:1] [6:864:1] |
Generators of the group modulo torsion |
j |
-970299/48778 |
j-invariant |
L |
6.0058846661876 |
L(r)(E,1)/r! |
Ω |
0.45919145623294 |
Real period |
R |
0.54496918665999 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704ca2 522h2 16704e1 |
Quadratic twists by: -4 8 -3 |