Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232co |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1743945707851776 = 212 · 36 · 112 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31152,-675180] |
[a1,a2,a3,a4,a6] |
j |
169112377/88209 |
j-invariant |
L |
4.5673458525549 |
L(r)(E,1)/r! |
Ω |
0.38061216548816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5577d2 528h2 |
Quadratic twists by: -4 13 |