Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12384q |
Isogeny class |
Conductor |
12384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6211219968 = -1 · 29 · 38 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291,-4246] |
[a1,a2,a3,a4,a6] |
j |
-7301384/16641 |
j-invariant |
L |
1.080672170621 |
L(r)(E,1)/r! |
Ω |
0.54033608531048 |
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 |
12384f2 24768n2 4128b2 |
Quadratic twists by: -4 8 -3 |