Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240q |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4523877734400 = 211 · 39 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9363,333362] |
[a1,a2,a3,a4,a6] |
Generators |
[31:270:1] |
Generators of the group modulo torsion |
j |
60801081122/3030075 |
j-invariant |
L |
5.0026747824178 |
L(r)(E,1)/r! |
Ω |
0.76464003520087 |
Real period |
R |
0.81781533665009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120h2 16080f2 |
Quadratic twists by: -4 -3 |