Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550do |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
155457792000000 = 214 · 36 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13505,-67503] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:740:1] |
Generators of the group modulo torsion |
j |
23912763841/13647872 |
j-invariant |
L |
10.343317738763 |
L(r)(E,1)/r! |
Ω |
0.47936605456256 |
Real period |
R |
0.77060985324588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950b1 2142k1 |
Quadratic twists by: -3 5 |