Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120du |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
100600600320 = 28 · 310 · 5 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2343,40898] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:286:1] |
Generators of the group modulo torsion |
j |
5726576/405 |
j-invariant |
L |
6.1286697024944 |
L(r)(E,1)/r! |
Ω |
1.0423267472878 |
Real period |
R |
2.9398985114601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949115 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780e2 29040cm2 87120ds2 |
Quadratic twists by: -4 -3 -11 |