Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422r |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
196598239236 = 22 · 38 · 72 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6437,194951] |
[a1,a2,a3,a4,a6] |
Generators |
[555:12682:1] |
Generators of the group modulo torsion |
j |
29497041301370833/196598239236 |
j-invariant |
L |
7.6296916171142 |
L(r)(E,1)/r! |
Ω |
1.0110392373617 |
Real period |
R |
3.7731926393995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49266z2 114954cq2 |
Quadratic twists by: -3 -7 |