Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
32736g |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
15603810816 = 29 · 3 · 11 · 314 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672,-2760] |
[a1,a2,a3,a4,a6] |
j |
65645911304/30476193 |
j-invariant |
L |
1.9607675000177 |
L(r)(E,1)/r! |
Ω |
0.98038375000799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32736m3 65472cq4 98208k3 |
Quadratic twists by: -4 8 -3 |