Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6192ba |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-128397312 = -1 · 212 · 36 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 0 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,560] |
[a1,a2,a3,a4,a6] |
j |
-4096/43 |
j-invariant |
L |
3.1573493722413 |
L(r)(E,1)/r! |
Ω |
1.5786746861206 |
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 |
387e1 24768ch1 688c1 |
Quadratic twists by: -4 8 -3 |