Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360q |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
888832000000000 = 221 · 59 · 7 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340296,76507120] |
[a1,a2,a3,a4,a6] |
j |
1063985165884855369/217000000000 |
j-invariant |
L |
0.96930197330201 |
L(r)(E,1)/r! |
Ω |
0.48465098665101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170c3 69440dd3 86800bt3 121520cy3 |
Quadratic twists by: -4 8 5 -7 |