Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12384n |
Isogeny class |
Conductor |
12384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
93601640448 = 212 · 312 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1740,-23744] |
[a1,a2,a3,a4,a6] |
j |
195112000/31347 |
j-invariant |
L |
1.4944601780811 |
L(r)(E,1)/r! |
Ω |
0.74723008904057 |
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 |
12384l2 24768bx1 4128d2 |
Quadratic twists by: -4 8 -3 |