Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6384ba |
Isogeny class |
Conductor |
6384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3168419882729472 = 218 · 314 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 6 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52080,3704256] |
[a1,a2,a3,a4,a6] |
j |
3814038123905521/773540010432 |
j-invariant |
L |
0.8496735183511 |
L(r)(E,1)/r! |
Ω |
0.42483675917555 |
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 |
798h2 25536dk2 19152ca2 44688cz2 |
Quadratic twists by: -4 8 -3 -7 |