Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
8268f |
Isogeny class |
Conductor |
8268 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
34500677328 = 24 · 310 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4297,106628] |
[a1,a2,a3,a4,a6] |
Generators |
[32:54:1] |
Generators of the group modulo torsion |
j |
548530594889728/2156292333 |
j-invariant |
L |
5.4715659824995 |
L(r)(E,1)/r! |
Ω |
1.168076568826 |
Real period |
R |
0.93685056759573 |
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 |
33072r1 24804h1 107484m1 |
Quadratic twists by: -4 -3 13 |