Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fo |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
66609539481600 = 215 · 314 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164172,-25600336] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:47:1] [-232:20:1] |
Generators of the group modulo torsion |
j |
20485356001928/2788425 |
j-invariant |
L |
9.0063293434334 |
L(r)(E,1)/r! |
Ω |
0.23718014468994 |
Real period |
R |
9.4931316396742 |
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 |
48960fm4 24480i4 16320bx4 |
Quadratic twists by: -4 8 -3 |