Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
52598ba |
Isogeny class |
Conductor |
52598 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.1973271453241E+26 |
Discriminant |
Eigenvalues |
2- 2 2 7- 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-595501557,-5421327581749] |
[a1,a2,a3,a4,a6] |
Generators |
[44372972541:9135306048836:804357] |
Generators of the group modulo torsion |
j |
196939179295135171649/6912449558477008 |
j-invariant |
L |
15.960009703225 |
L(r)(E,1)/r! |
Ω |
0.030627705728105 |
Real period |
R |
16.284285465398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52598o2 |
Quadratic twists by: 17 |