Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16974l |
Isogeny class |
Conductor |
16974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
6804163420416 = 28 · 36 · 232 · 413 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11819,-475397] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:80:1] |
Generators of the group modulo torsion |
j |
250440136856937/9333557504 |
j-invariant |
L |
8.7954261231551 |
L(r)(E,1)/r! |
Ω |
0.45893600824075 |
Real period |
R |
2.3956025364165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1886c1 |
Quadratic twists by: -3 |