Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638g |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-75805033752008 = -1 · 23 · 112 · 238 |
Discriminant |
Eigenvalues |
2+ -3 0 0 11+ 2 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3802,-427556] |
[a1,a2,a3,a4,a6] |
j |
-77625/968 |
j-invariant |
L |
0.52240892011023 |
L(r)(E,1)/r! |
Ω |
0.26120446005511 |
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 |
93104bh1 104742bz1 128018bl1 11638n1 |
Quadratic twists by: -4 -3 -11 -23 |