Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192j |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-19478347776 = -1 · 224 · 33 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 3 -1 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3339,-74566] |
[a1,a2,a3,a4,a6] |
j |
-37226247219/176128 |
j-invariant |
L |
1.255748091791 |
L(r)(E,1)/r! |
Ω |
0.31393702294776 |
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 |
774f1 24768bt1 6192i2 |
Quadratic twists by: -4 8 -3 |