Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360b |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6868592640000 = 214 · 34 · 54 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12241,509905] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1008:1] |
Generators of the group modulo torsion |
j |
12381975627856/419225625 |
j-invariant |
L |
4.7240311917486 |
L(r)(E,1)/r! |
Ω |
0.7432465370152 |
Real period |
R |
1.5889852671393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000065 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360gd2 10920t2 |
Quadratic twists by: -4 8 |