Atkin-Lehner |
2- 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182m |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
503324928 = 28 · 37 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-554,-4759] |
[a1,a2,a3,a4,a6] |
j |
25750777177/690432 |
j-invariant |
L |
3.9432489499906 |
L(r)(E,1)/r! |
Ω |
0.98581223749764 |
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 |
129456bf1 5394g1 |
Quadratic twists by: -4 -3 |