Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864bj |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
169454075904 = 222 · 32 · 672 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5729,-167649] |
[a1,a2,a3,a4,a6] |
Generators |
[-1508331:902060:35937] |
Generators of the group modulo torsion |
j |
79340706073/646416 |
j-invariant |
L |
5.2845910300977 |
L(r)(E,1)/r! |
Ω |
0.54901844620888 |
Real period |
R |
9.6255254565476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12864g2 3216f2 38592bv2 |
Quadratic twists by: -4 8 -3 |