Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422r |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
17427157776 = 24 · 34 · 7 · 174 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-657,-1569] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:56:1] |
Generators of the group modulo torsion |
j |
31366144171153/17427157776 |
j-invariant |
L |
7.6296916171142 |
L(r)(E,1)/r! |
Ω |
1.0110392373617 |
Real period |
R |
1.8865963196997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266z1 114954cq1 |
Quadratic twists by: -3 -7 |