Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768j |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11644416 = -1 · 29 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,56,56] |
[a1,a2,a3,a4,a6] |
j |
37259704/22743 |
j-invariant |
L |
2.7872942165401 |
L(r)(E,1)/r! |
Ω |
1.3936471082701 |
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 |
12768b2 25536cg2 38304bp2 89376h2 |
Quadratic twists by: -4 8 -3 -7 |