Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dm |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.8778723360656E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-218705,1063392297] |
[a1,a2,a3,a4,a6] |
Generators |
[-1027:14796:1] |
Generators of the group modulo torsion |
j |
-101566487155393/42823570577256 |
j-invariant |
L |
8.2640681287166 |
L(r)(E,1)/r! |
Ω |
0.13451567501454 |
Real period |
R |
5.1196438182917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850e2 2142j2 |
Quadratic twists by: -3 5 |