Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
39440k |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8514309415606681600 = -1 · 224 · 52 · 176 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,112064,139607040] |
[a1,a2,a3,a4,a6] |
Generators |
[165:12750:1] |
Generators of the group modulo torsion |
j |
37997782187815871/2078688822169600 |
j-invariant |
L |
9.3094130068356 |
L(r)(E,1)/r! |
Ω |
0.17668010494619 |
Real period |
R |
4.3908985534752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930g2 |
Quadratic twists by: -4 |