Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562bb |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.1581508055648E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-621988970,5970812828073] |
[a1,a2,a3,a4,a6] |
Generators |
[-22167:2988623:1] |
Generators of the group modulo torsion |
j |
-1646982616152408625/38112512 |
j-invariant |
L |
8.6239622302647 |
L(r)(E,1)/r! |
Ω |
0.11782910389984 |
Real period |
R |
2.2872007914607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618b2 954e2 |
Quadratic twists by: -3 53 |