Atkin-Lehner |
2- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
11792c |
Isogeny class |
Conductor |
11792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
193200128 = 218 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 0 4 -4 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-203,890] |
[a1,a2,a3,a4,a6] |
j |
225866529/47168 |
j-invariant |
L |
1.6938778249515 |
L(r)(E,1)/r! |
Ω |
1.6938778249515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1474a1 47168f1 106128bq1 129712x1 |
Quadratic twists by: -4 8 -3 -11 |