Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12816i |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3027453345792 = 219 · 36 · 892 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98571,11911354] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1728:1] |
Generators of the group modulo torsion |
j |
35471840526793/1013888 |
j-invariant |
L |
3.8280695824996 |
L(r)(E,1)/r! |
Ω |
0.74489294330566 |
Real period |
R |
1.2847717302541 |
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 |
1602c2 51264y2 1424e2 |
Quadratic twists by: -4 8 -3 |