Atkin-Lehner |
3+ 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16269a |
Isogeny class |
Conductor |
16269 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1119928512800889 = 32 · 116 · 174 · 292 |
Discriminant |
Eigenvalues |
1 3+ -2 0 11- 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-28526,-932025] |
[a1,a2,a3,a4,a6] |
j |
2567261652969949417/1119928512800889 |
j-invariant |
L |
1.1469289065042 |
L(r)(E,1)/r! |
Ω |
0.38230963550138 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48807j2 |
Quadratic twists by: -3 |