Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360fx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1521657446400 = -1 · 217 · 36 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,959,58559] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:240:1] |
Generators of the group modulo torsion |
j |
743389918/11609325 |
j-invariant |
L |
7.4898922820439 |
L(r)(E,1)/r! |
Ω |
0.63007957872176 |
Real period |
R |
0.4953006817566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005876 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360o2 21840h2 |
Quadratic twists by: -4 8 |