Atkin-Lehner |
3- 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
68085c |
Isogeny class |
Conductor |
68085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1977667525523705625 = 314 · 54 · 174 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9765990,-11744243825] |
[a1,a2,a3,a4,a6] |
j |
141300934656673748243041/2712849829250625 |
j-invariant |
L |
1.5372464310711 |
L(r)(E,1)/r! |
Ω |
0.085402578664524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22695b2 |
Quadratic twists by: -3 |