Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768q |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-303227684089344 = -1 · 29 · 314 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 6 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10192,930100] |
[a1,a2,a3,a4,a6] |
j |
-228704445680264/592241570487 |
j-invariant |
L |
2.8913078298359 |
L(r)(E,1)/r! |
Ω |
0.48188463830599 |
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 |
12768w2 25536dh2 38304y2 89376cq2 |
Quadratic twists by: -4 8 -3 -7 |