Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fb |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.0340152432019E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19123275,-35712895750] |
[a1,a2,a3,a4,a6] |
j |
-16576888679672833/2216253521952 |
j-invariant |
L |
0.57329396970175 |
L(r)(E,1)/r! |
Ω |
0.035830872683333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8550w4 22800bz3 2736v4 |
Quadratic twists by: -4 -3 5 |