Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768v |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
79481789545536 = 26 · 34 · 76 · 194 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41382,3197880] |
[a1,a2,a3,a4,a6] |
Generators |
[8340:761460:1] |
Generators of the group modulo torsion |
j |
122458422894369472/1241902961649 |
j-invariant |
L |
6.0521058453843 |
L(r)(E,1)/r! |
Ω |
0.61256278861735 |
Real period |
R |
4.9399881594545 |
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 |
12768p1 25536bz2 38304j1 89376bz1 |
Quadratic twists by: -4 8 -3 -7 |