Atkin-Lehner |
2- 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
11682o |
Isogeny class |
Conductor |
11682 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
88141215970368 = 26 · 313 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21290,1112361] |
[a1,a2,a3,a4,a6] |
Generators |
[59:213:1] |
Generators of the group modulo torsion |
j |
1463875168353625/120907017792 |
j-invariant |
L |
7.0519036312225 |
L(r)(E,1)/r! |
Ω |
0.59039307241357 |
Real period |
R |
0.99536844755446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93456bv1 3894b1 128502l1 |
Quadratic twists by: -4 -3 -11 |