Atkin-Lehner |
11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681f |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-22605122407571 = -1 · 113 · 198 |
Discriminant |
Eigenvalues |
2 3 -3 -2 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3971,-207485] |
[a1,a2,a3,a4,a6] |
j |
110592/361 |
j-invariant |
L |
5.532972449001 |
L(r)(E,1)/r! |
Ω |
0.34581077808191 |
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 |
43681g1 2299b1 |
Quadratic twists by: -11 -19 |