Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
116160cq |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
3833280 = 26 · 32 · 5 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-656,-6690] |
[a1,a2,a3,a4,a6] |
j |
367061696/45 |
j-invariant |
L |
3.7729555167289 |
L(r)(E,1)/r! |
Ω |
0.94323875008454 |
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 |
116160c1 58080bm2 116160co1 |
Quadratic twists by: -4 8 -11 |