Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bt |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-395687136000000 = -1 · 211 · 3 · 56 · 132 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 13+ -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4338,-963708] |
[a1,a2,a3,a4,a6] |
Generators |
[116:254:1] |
Generators of the group modulo torsion |
j |
-577801395289/25323976704 |
j-invariant |
L |
11.232148399154 |
L(r)(E,1)/r! |
Ω |
0.23343256450008 |
Real period |
R |
2.1871507133276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2262b1 |
Quadratic twists by: 5 |