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 |
1427673600000000 = 215 · 38 · 58 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-66252,6306896] |
[a1,a2,a3,a4,a6] |
Generators |
[-278:1800:1] [-203:3375:1] |
Generators of the group modulo torsion |
j |
1346304286088/59765625 |
j-invariant |
L |
9.0063293434334 |
L(r)(E,1)/r! |
Ω |
0.47436028937987 |
Real period |
R |
0.59332072747963 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fm3 24480i3 16320bx3 |
Quadratic twists by: -4 8 -3 |