Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cu |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1936973136000000 = 210 · 3 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59061,5083035] |
[a1,a2,a3,a4,a6] |
Generators |
[-6486:63125:27] |
Generators of the group modulo torsion |
j |
189123395584/16078125 |
j-invariant |
L |
5.252928189825 |
L(r)(E,1)/r! |
Ω |
0.45602509732934 |
Real period |
R |
5.7594726919507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040er3 2940f3 6720o3 |
Quadratic twists by: -4 8 -7 |