Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638v |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
8291469824 = 29 · 113 · 233 |
Discriminant |
Eigenvalues |
2- -2 -3 -3 11- -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-517,1089] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:55:1] [-2:47:1] |
Generators of the group modulo torsion |
j |
1256216039/681472 |
j-invariant |
L |
5.5518106810484 |
L(r)(E,1)/r! |
Ω |
1.1418298279682 |
Real period |
R |
0.090040833047137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104r1 104742n1 128018n1 11638r1 |
Quadratic twists by: -4 -3 -11 -23 |