Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638u |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-303220135008032 = -1 · 25 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 1 2 2 11- 6 -5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17997,-1252687] |
[a1,a2,a3,a4,a6] |
j |
-8231953/3872 |
j-invariant |
L |
6.0464812525357 |
L(r)(E,1)/r! |
Ω |
0.20154937508452 |
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 |
93104m1 104742l1 128018g1 11638p1 |
Quadratic twists by: -4 -3 -11 -23 |