Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bx |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15176651490643968 = 212 · 310 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66473,2917641] |
[a1,a2,a3,a4,a6] |
j |
1643032000/767637 |
j-invariant |
L |
0.70369288805737 |
L(r)(E,1)/r! |
Ω |
0.35184644402807 |
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 |
32448cz2 16224s1 97344eo2 2496r2 |
Quadratic twists by: -4 8 -3 13 |