Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400ck |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-243648000000 = -1 · 212 · 34 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-808,-25612] |
[a1,a2,a3,a4,a6] |
Generators |
[62:408:1] |
Generators of the group modulo torsion |
j |
-912673/3807 |
j-invariant |
L |
7.2288680893366 |
L(r)(E,1)/r! |
Ω |
0.4077153707817 |
Real period |
R |
2.216272860718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3525g1 2256j1 |
Quadratic twists by: -4 5 |