Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
18572674498560 = 215 · 34 · 5 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12481,-499201] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:168:1] |
Generators of the group modulo torsion |
j |
6562309703048/566793045 |
j-invariant |
L |
7.159507278977 |
L(r)(E,1)/r! |
Ω |
0.4541707922499 |
Real period |
R |
0.98524434548435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360em4 43680bk3 |
Quadratic twists by: -4 8 |