Atkin-Lehner |
11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
38291c |
Isogeny class |
Conductor |
38291 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41470 |
Modular degree for the optimal curve |
Δ |
-463985870051 = -1 · 11 · 596 |
Discriminant |
Eigenvalues |
2 -1 1 -2 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1160,-35745] |
[a1,a2,a3,a4,a6] |
j |
-4096/11 |
j-invariant |
L |
0.37984349336622 |
L(r)(E,1)/r! |
Ω |
0.3798434933599 |
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 |
11a3 |
Quadratic twists by: -59 |