Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32736m |
Isogeny class |
Conductor |
32736 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[2946:30070:27] |
Generators of the group modulo torsion |
j |
65645911304/30476193 |
j-invariant |
L |
8.2295965895322 |
L(r)(E,1)/r! |
Ω |
1.1109242222694 |
Real period |
R |
3.703941468087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32736g3 65472bm4 98208h3 |
Quadratic twists by: -4 8 -3 |