Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cn |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-584506368 = -1 · 210 · 39 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 1 3 7 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,1384] |
[a1,a2,a3,a4,a6] |
Generators |
[5:27:1] |
Generators of the group modulo torsion |
j |
-562432/783 |
j-invariant |
L |
4.8701017944978 |
L(r)(E,1)/r! |
Ω |
1.4710402834931 |
Real period |
R |
0.82766288747261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704v1 4176j1 5568be1 |
Quadratic twists by: -4 8 -3 |