Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bs |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2590035913944000000 = 29 · 37 · 56 · 236 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481808,-102671388] |
[a1,a2,a3,a4,a6] |
Generators |
[792:3450:1] |
Generators of the group modulo torsion |
j |
1546167879660104/323754489243 |
j-invariant |
L |
4.7498677820219 |
L(r)(E,1)/r! |
Ω |
0.18388693343769 |
Real period |
R |
2.152530948028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000149 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200x2 110400dz2 2208d2 |
Quadratic twists by: -4 8 5 |