Atkin-Lehner |
2- 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
16068i |
Isogeny class |
Conductor |
16068 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
178740432 = 24 · 34 · 13 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313,-2140] |
[a1,a2,a3,a4,a6] |
j |
212629504000/11171277 |
j-invariant |
L |
2.2769048762775 |
L(r)(E,1)/r! |
Ω |
1.1384524381387 |
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 |
64272i1 48204f1 |
Quadratic twists by: -4 -3 |