Atkin-Lehner |
2+ 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422a |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-33632256 = -1 · 212 · 3 · 7 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 2 6 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,68,208] |
[a1,a2,a3,a4,a6] |
Generators |
[24:116:1] |
Generators of the group modulo torsion |
j |
33980740919/33632256 |
j-invariant |
L |
3.5646344590997 |
L(r)(E,1)/r! |
Ω |
1.3638228372324 |
Real period |
R |
1.3068539262524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266bq1 114954ba1 |
Quadratic twists by: -3 -7 |