Atkin-Lehner |
2- 3- 7- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422z |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
269682084 = 22 · 32 · 72 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-249,1269] |
[a1,a2,a3,a4,a6] |
Generators |
[14:17:1] |
Generators of the group modulo torsion |
j |
1707775420177/269682084 |
j-invariant |
L |
8.0150080851408 |
L(r)(E,1)/r! |
Ω |
1.6667471081094 |
Real period |
R |
2.4043863781567 |
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 |
49266w2 114954ca2 |
Quadratic twists by: -3 -7 |