Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094k |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9775059928524 = -1 · 22 · 38 · 113 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1161,-150903] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1203:1] |
Generators of the group modulo torsion |
j |
-178453547/10074276 |
j-invariant |
L |
6.0346411375327 |
L(r)(E,1)/r! |
Ω |
0.31899527462856 |
Real period |
R |
1.1823531603525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16698bi2 50094bt2 |
Quadratic twists by: -3 -11 |