Atkin-Lehner |
2- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638p |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-2048288 = -1 · 25 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 1 -2 -2 11+ 6 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34,100] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-8231953/3872 |
j-invariant |
L |
6.7480859128178 |
L(r)(E,1)/r! |
Ω |
2.442421000229 |
Real period |
R |
0.276286762691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93104ba1 104742x1 128018h1 11638u1 |
Quadratic twists by: -4 -3 -11 -23 |