Atkin-Lehner |
2+ 3- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17082d |
Isogeny class |
Conductor |
17082 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3994377976836 = 22 · 38 · 134 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4041,24057] |
[a1,a2,a3,a4,a6] |
Generators |
[81:432:1] |
Generators of the group modulo torsion |
j |
10012054079377/5479256484 |
j-invariant |
L |
4.8322514531233 |
L(r)(E,1)/r! |
Ω |
0.68090552699414 |
Real period |
R |
3.5484008144678 |
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 |
5694f2 |
Quadratic twists by: -3 |