Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
12864bi |
Isogeny class |
Conductor |
12864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
13172736 = 216 · 3 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-1665] |
[a1,a2,a3,a4,a6] |
Generators |
[5355:32544:125] |
Generators of the group modulo torsion |
j |
28756228/201 |
j-invariant |
L |
6.4936069744182 |
L(r)(E,1)/r! |
Ω |
1.1925002868779 |
Real period |
R |
5.4453714148945 |
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 |
12864f1 3216a1 38592by1 |
Quadratic twists by: -4 8 -3 |