Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768ba |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-534793093632 = -1 · 29 · 310 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1016,-37668] |
[a1,a2,a3,a4,a6] |
j |
-226757813192/1044517761 |
j-invariant |
L |
3.8321125299798 |
L(r)(E,1)/r! |
Ω |
0.38321125299798 |
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 |
12768e2 25536f2 38304p2 89376bp2 |
Quadratic twists by: -4 8 -3 -7 |