Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
2.4644507175173E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1640265985,-25569776015617] |
[a1,a2,a3,a4,a6] |
Generators |
[120728754:47496130955:729] |
Generators of the group modulo torsion |
j |
1861772567578966373029167169/9401133413380800000 |
j-invariant |
L |
8.9796836228566 |
L(r)(E,1)/r! |
Ω |
0.023723082356107 |
Real period |
R |
9.4630237056983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939124 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bl4 21840x4 |
Quadratic twists by: -4 8 |