Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562n |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-90774628619764338 = -1 · 2 · 36 · 538 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13538502,19177006878] |
[a1,a2,a3,a4,a6] |
Generators |
[820856123853773991491026653983977:144087439427638069955771398158218:383098720060647056158229491219] |
Generators of the group modulo torsion |
j |
-6046458625/2 |
j-invariant |
L |
4.622779481244 |
L(r)(E,1)/r! |
Ω |
0.27344666727598 |
Real period |
R |
50.716794546759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
5618h2 50562z2 |
Quadratic twists by: -3 53 |