Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12816i |
Isogeny class |
Conductor |
12816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
4354090205184 = 226 · 36 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6411,170170] |
[a1,a2,a3,a4,a6] |
Generators |
[71:270:1] |
Generators of the group modulo torsion |
j |
9759185353/1458176 |
j-invariant |
L |
3.8280695824996 |
L(r)(E,1)/r! |
Ω |
0.74489294330566 |
Real period |
R |
2.5695434605083 |
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 |
1602c1 51264y1 1424e1 |
Quadratic twists by: -4 8 -3 |