Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638s |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
299624639336 = 23 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 0 3 3 11- -1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1951,20639] |
[a1,a2,a3,a4,a6] |
j |
5545233/2024 |
j-invariant |
L |
5.3316997147891 |
L(r)(E,1)/r! |
Ω |
0.88861661913152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104i1 104742q1 128018e1 506e1 |
Quadratic twists by: -4 -3 -11 -23 |