Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768w |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
28 |
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] |
Generators |
[275:4140:1] |
Generators of the group modulo torsion |
j |
-228704445680264/592241570487 |
j-invariant |
L |
6.1320001279875 |
L(r)(E,1)/r! |
Ω |
0.22097129793497 |
Real period |
R |
3.9643158476706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12768q2 25536ca2 38304k2 89376ca2 |
Quadratic twists by: -4 8 -3 -7 |