Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638d |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57408 |
Modular degree for the optimal curve |
Δ |
39625358552186 = 2 · 11 · 239 |
Discriminant |
Eigenvalues |
2+ 2 -1 1 11+ 5 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-72748,-7576626] |
[a1,a2,a3,a4,a6] |
j |
23639903/22 |
j-invariant |
L |
2.3257218023383 |
L(r)(E,1)/r! |
Ω |
0.29071522529229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104bg1 104742cd1 128018z1 11638k1 |
Quadratic twists by: -4 -3 -11 -23 |