Atkin-Lehner |
2- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960bb |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
82862579223756800 = 217 · 52 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-170348,-23249072] |
[a1,a2,a3,a4,a6] |
j |
4170853185624162/632191308775 |
j-invariant |
L |
1.8991100307564 |
L(r)(E,1)/r! |
Ω |
0.23738873895908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128960e3 32240e3 |
Quadratic twists by: -4 8 |