Atkin-Lehner |
2+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288a |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-13706985472 = -1 · 224 · 19 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 1 0 2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,543,2657] |
[a1,a2,a3,a4,a6] |
Generators |
[805:9984:125] |
Generators of the group modulo torsion |
j |
67419143/52288 |
j-invariant |
L |
11.195594861518 |
L(r)(E,1)/r! |
Ω |
0.80585532269318 |
Real period |
R |
3.4732024924957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288u1 1634a1 |
Quadratic twists by: -4 8 |