Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fo |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
43686812160000 = 212 · 310 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11172,-324736] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:200:1] [-62:360:1] |
Generators of the group modulo torsion |
j |
51645087424/14630625 |
j-invariant |
L |
9.0063293434334 |
L(r)(E,1)/r! |
Ω |
0.47436028937987 |
Real period |
R |
2.3732829099185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960fm2 24480i1 16320bx2 |
Quadratic twists by: -4 8 -3 |