Atkin-Lehner |
3+ 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16269b |
Isogeny class |
Conductor |
16269 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
64962117 = 32 · 114 · 17 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 -4 11- 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23666,-1411221] |
[a1,a2,a3,a4,a6] |
j |
1465976355750991657/64962117 |
j-invariant |
L |
0.76983197758067 |
L(r)(E,1)/r! |
Ω |
0.38491598879033 |
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 |
48807k4 |
Quadratic twists by: -3 |