Atkin-Lehner |
2+ 3+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32448o |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1295843328 = 216 · 32 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 -4 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1057,-12767] |
[a1,a2,a3,a4,a6] |
j |
907924/9 |
j-invariant |
L |
1.6754694293071 |
L(r)(E,1)/r! |
Ω |
0.83773471465192 |
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 |
32448dj2 4056r2 97344df2 32448s2 |
Quadratic twists by: -4 8 -3 13 |