Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550eo |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
648 |
Product of Tamagawa factors cp |
Δ |
-3.7507668866325E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-258305,299023697] |
[a1,a2,a3,a4,a6] |
Generators |
[-681:12940:1] |
Generators of the group modulo torsion |
j |
-6693187811305/131714173248 |
j-invariant |
L |
10.423702413881 |
L(r)(E,1)/r! |
Ω |
0.17273373652178 |
Real period |
R |
0.83813184124939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17850ba2 53550bj2 |
Quadratic twists by: -3 5 |