Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384u |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1210646642688 = 214 · 34 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3472,-57152] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:90:1] |
Generators of the group modulo torsion |
j |
1130389181713/295568028 |
j-invariant |
L |
4.0888450982987 |
L(r)(E,1)/r! |
Ω |
0.63400130686687 |
Real period |
R |
3.2246345977622 |
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 |
798i4 25536dp3 19152bu4 44688dn3 |
Quadratic twists by: -4 8 -3 -7 |