Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
12384f |
Isogeny class |
Conductor |
12384 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[-19:54:1] [5:54:1] |
Generators of the group modulo torsion |
j |
-7301384/16641 |
j-invariant |
L |
5.6088363594128 |
L(r)(E,1)/r! |
Ω |
1.1894180516053 |
Real period |
R |
1.1789034881056 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12384q2 24768bd2 4128n2 |
Quadratic twists by: -4 8 -3 |