Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638b |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-303220135008032 = -1 · 25 · 112 · 238 |
Discriminant |
Eigenvalues |
2+ 1 4 -4 11+ 6 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4696209,3916749444] |
[a1,a2,a3,a4,a6] |
j |
-146265917771209/3872 |
j-invariant |
L |
2.3851781282862 |
L(r)(E,1)/r! |
Ω |
0.3975296880477 |
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 |
93104bc1 104742cq1 128018u1 11638i1 |
Quadratic twists by: -4 -3 -11 -23 |