Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160gz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-58080000000000 = -1 · 214 · 3 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17365,-948275] |
[a1,a2,a3,a4,a6] |
j |
-292124360704/29296875 |
j-invariant |
L |
2.067698460828 |
L(r)(E,1)/r! |
Ω |
0.20676981662695 |
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 |
116160eo1 29040dc1 116160gw1 |
Quadratic twists by: -4 8 -11 |