Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550cx |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-983981250000 = -1 · 24 · 33 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16055,788447] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-110:1] |
Generators of the group modulo torsion |
j |
-43391581875/93296 |
j-invariant |
L |
8.9510294345612 |
L(r)(E,1)/r! |
Ω |
0.88090059389308 |
Real period |
R |
0.4233843890685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53550o1 53550i1 |
Quadratic twists by: -3 5 |