Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600k |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
262400000000 = 214 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 0 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2033,-25937] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:100:1] |
Generators of the group modulo torsion |
j |
3631696/1025 |
j-invariant |
L |
4.169493416558 |
L(r)(E,1)/r! |
Ω |
0.72618051447291 |
Real period |
R |
1.4354190638543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bg1 8200b1 13120b1 |
Quadratic twists by: -4 8 5 |