Atkin-Lehner |
2+ 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950b |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
249779117321800 = 23 · 52 · 116 · 893 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 11+ -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17215,414365] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:731:1] |
Generators of the group modulo torsion |
j |
22570657065800545/9991164692872 |
j-invariant |
L |
1.7109128171349 |
L(r)(E,1)/r! |
Ω |
0.49851943333564 |
Real period |
R |
1.7159941044489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48950ba2 |
Quadratic twists by: 5 |