Atkin-Lehner |
5- 7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17255d |
Isogeny class |
Conductor |
17255 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2151135555625 = 54 · 72 · 174 · 292 |
Discriminant |
Eigenvalues |
-1 0 5- 7+ -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3432,-30886] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:166:1] |
Generators of the group modulo torsion |
j |
4469376184577361/2151135555625 |
j-invariant |
L |
2.4917583873328 |
L(r)(E,1)/r! |
Ω |
0.65439050424891 |
Real period |
R |
1.9038772500166 |
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 |
86275k2 120785e2 |
Quadratic twists by: 5 -7 |