Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43056t |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
238302888475392 = 28 · 39 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19575,-748062] |
[a1,a2,a3,a4,a6] |
Generators |
[2442:120474:1] |
Generators of the group modulo torsion |
j |
164625750000/47293129 |
j-invariant |
L |
6.3220372765178 |
L(r)(E,1)/r! |
Ω |
0.41246215740863 |
Real period |
R |
3.8318892793945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10764a2 43056r2 |
Quadratic twists by: -4 -3 |