Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gl |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1696773184456458240 = -1 · 215 · 312 · 5 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,166335,56917665] |
[a1,a2,a3,a4,a6] |
j |
8767302328/29229255 |
j-invariant |
L |
1.5048402495476 |
L(r)(E,1)/r! |
Ω |
0.18810490797693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160it3 58080bw2 10560br4 |
Quadratic twists by: -4 8 -11 |