Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160eo |
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 |
6.1063028068435 |
L(r)(E,1)/r! |
Ω |
0.6106302146468 |
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 |
116160gz1 7260c1 116160er1 |
Quadratic twists by: -4 8 -11 |