Atkin-Lehner |
2- 3- 5+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bk |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.6846495171875E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-898125548,-10359611937169] |
[a1,a2,a3,a4,a6] |
Generators |
[-7900202695:1987373081:456533] |
Generators of the group modulo torsion |
j |
109902440059270908328092675961/231090468750000000000 |
j-invariant |
L |
8.5663452112841 |
L(r)(E,1)/r! |
Ω |
0.027578163808675 |
Real period |
R |
7.7655144761808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999695 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17670e3 |
Quadratic twists by: -3 |