Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840z |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20959948800 = 212 · 34 · 52 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,-2097] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:60:1] |
Generators of the group modulo torsion |
j |
9474296896/5117175 |
j-invariant |
L |
8.022366384797 |
L(r)(E,1)/r! |
Ω |
0.98695025900152 |
Real period |
R |
0.50802752668055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840bi2 127680m1 |
Quadratic twists by: -4 8 |