Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6384q |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3083778498601156608 = 218 · 36 · 73 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1934968,1033192048] |
[a1,a2,a3,a4,a6] |
j |
195607431345044517625/752875610010048 |
j-invariant |
L |
0.50800595114938 |
L(r)(E,1)/r! |
Ω |
0.25400297557469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
798e4 25536cw4 19152bl4 44688de4 |
Quadratic twists by: -4 8 -3 -7 |