Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682u |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
255803277312 = 214 · 37 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3632,81555] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:177:1] [-43:417:1] |
Generators of the group modulo torsion |
j |
7266438420409/350896128 |
j-invariant |
L |
6.9601603405846 |
L(r)(E,1)/r! |
Ω |
0.97202868521676 |
Real period |
R |
0.25573026681354 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456bn1 3894a1 128502t1 |
Quadratic twists by: -4 -3 -11 |