Atkin-Lehner |
11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681g |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-4.0046353257479E+19 |
Discriminant |
Eigenvalues |
-2 3 -3 2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,480491,276162202] |
[a1,a2,a3,a4,a6] |
j |
110592/361 |
j-invariant |
L |
2.3105679550397 |
L(r)(E,1)/r! |
Ω |
0.14441049722881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43681f1 2299a1 |
Quadratic twists by: -11 -19 |