Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672q |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.6349844619157E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3798444,4600342240] |
[a1,a2,a3,a4,a6] |
j |
-420526439488/390971529 |
j-invariant |
L |
0.98736929133693 |
L(r)(E,1)/r! |
Ω |
0.12342116141828 |
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 |
48672br2 97344cf1 16224u2 3744l2 |
Quadratic twists by: -4 8 -3 13 |