Atkin-Lehner |
3+ 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16269b |
Isogeny class |
Conductor |
16269 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
867768009867 = 38 · 11 · 17 · 294 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2416,8041] |
[a1,a2,a3,a4,a6] |
j |
1560613441051657/867768009867 |
j-invariant |
L |
0.76983197758067 |
L(r)(E,1)/r! |
Ω |
0.76983197758067 |
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 |
48807k3 |
Quadratic twists by: -3 |