Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
Δ |
-1.97203734E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-525880545,8197053526143] |
[a1,a2,a3,a4,a6] |
Generators |
[-16269:3528000:1] |
Generators of the group modulo torsion |
j |
-61354313914516350666047929/75227254486083984375000 |
j-invariant |
L |
8.1482116776283 |
L(r)(E,1)/r! |
Ω |
0.034840226417544 |
Real period |
R |
0.5846841789712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360fl3 2730c4 |
Quadratic twists by: -4 8 |