Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cl |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-81312247096344576 = -1 · 216 · 32 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91711,-8629791] |
[a1,a2,a3,a4,a6] |
j |
269676572/257049 |
j-invariant |
L |
0.74775605384693 |
L(r)(E,1)/r! |
Ω |
0.18693901346211 |
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 |
32448bm3 8112m4 97344fg3 2496s4 |
Quadratic twists by: -4 8 -3 13 |