Atkin-Lehner |
2+ 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16704l |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-1642070016 = -1 · 221 · 33 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 0 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9324,346544] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:832:1] [13:477:1] |
Generators of the group modulo torsion |
j |
-12665630691/232 |
j-invariant |
L |
6.0058846661876 |
L(r)(E,1)/r! |
Ω |
1.3775743686988 |
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 |
16704ca1 522h1 16704e2 |
Quadratic twists by: -4 8 -3 |