Atkin-Lehner |
3- 11+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16269f |
Isogeny class |
Conductor |
16269 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1415403 = 32 · 11 · 17 · 292 |
Discriminant |
Eigenvalues |
1 3- 0 -4 11+ 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-996,-12173] |
[a1,a2,a3,a4,a6] |
j |
109112566461625/1415403 |
j-invariant |
L |
0.84993811321373 |
L(r)(E,1)/r! |
Ω |
0.84993811321373 |
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 |
48807o2 |
Quadratic twists by: -3 |