Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768i |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
93155328 = 212 · 32 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,-33] |
[a1,a2,a3,a4,a6] |
j |
39304000/22743 |
j-invariant |
L |
3.2188473494674 |
L(r)(E,1)/r! |
Ω |
1.6094236747337 |
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 |
12768a2 25536cf1 38304bo2 89376e2 |
Quadratic twists by: -4 8 -3 -7 |