Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
6192y |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145920 |
Modular degree for the optimal curve |
Δ |
-596924992815906816 = -1 · 214 · 325 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -1 1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6353859,6164705986] |
[a1,a2,a3,a4,a6] |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
1.0700957417154 |
L(r)(E,1)/r! |
Ω |
0.26752393542885 |
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 |
774c1 24768cf1 2064o1 |
Quadratic twists by: -4 8 -3 |