Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16320z |
Isogeny class |
Conductor |
16320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-277102632960000 = -1 · 216 · 34 · 54 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2721,801855] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:816:1] |
Generators of the group modulo torsion |
j |
-34008619684/4228250625 |
j-invariant |
L |
5.7464515503655 |
L(r)(E,1)/r! |
Ω |
0.45060083600227 |
Real period |
R |
0.39852702569779 |
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 |
16320bs4 2040c4 48960ck3 81600a3 |
Quadratic twists by: -4 8 -3 5 |