Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32448r |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8.7448277755176E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 0 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47985409,128036721409] |
[a1,a2,a3,a4,a6] |
j |
-4395631034341/3145728 |
j-invariant |
L |
2.3252591763917 |
L(r)(E,1)/r! |
Ω |
0.12918106535538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448dm3 1014g3 97344dc3 32448p3 |
Quadratic twists by: -4 8 -3 13 |