Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bg |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
47360000000 = 214 · 57 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6033,178063] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:600:1] [53:-100:1] |
Generators of the group modulo torsion |
j |
94875856/185 |
j-invariant |
L |
6.506164301823 |
L(r)(E,1)/r! |
Ω |
1.1335321043385 |
Real period |
R |
1.4349316346931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200da1 7400f1 11840d1 |
Quadratic twists by: -4 8 5 |