Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562bd |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4811055316847509914 = -1 · 2 · 36 · 539 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-228056,113608293] |
[a1,a2,a3,a4,a6] |
Generators |
[626606900:14398138053:1000000] |
Generators of the group modulo torsion |
j |
-81182737/297754 |
j-invariant |
L |
12.730889885109 |
L(r)(E,1)/r! |
Ω |
0.2130707601565 |
Real period |
R |
14.937396707739 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618c2 954f2 |
Quadratic twists by: -3 53 |