Atkin-Lehner |
2- 3+ 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
112560br |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
456301175904000 = 28 · 33 · 53 · 76 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25660,-1194308] |
[a1,a2,a3,a4,a6] |
Generators |
[-998:1785:8] |
Generators of the group modulo torsion |
j |
7299122086146256/1782426468375 |
j-invariant |
L |
6.1398825139039 |
L(r)(E,1)/r! |
Ω |
0.38392884856811 |
Real period |
R |
5.3307468411114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000038691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140s2 |
Quadratic twists by: -4 |