Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562c |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3362023282213494 = 2 · 33 · 538 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80583,8371215] |
[a1,a2,a3,a4,a6] |
Generators |
[-17073:1209384:343] |
Generators of the group modulo torsion |
j |
96702579/5618 |
j-invariant |
L |
4.5004442501884 |
L(r)(E,1)/r! |
Ω |
0.43942387272576 |
Real period |
R |
5.1208463280559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999394 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50562v2 954g2 |
Quadratic twists by: -3 53 |