Atkin-Lehner |
2- 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
50160bg |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-9926637355008000 = -1 · 218 · 32 · 53 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169576,27358576] |
[a1,a2,a3,a4,a6] |
Generators |
[228:-704:1] |
Generators of the group modulo torsion |
j |
-131661708271504489/2423495448000 |
j-invariant |
L |
3.992777435896 |
L(r)(E,1)/r! |
Ω |
0.40830093587635 |
Real period |
R |
0.81491719405055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270g3 |
Quadratic twists by: -4 |