Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960eq |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
328935997440 = 216 · 310 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65388,-6435632] |
[a1,a2,a3,a4,a6] |
j |
647158135396/6885 |
j-invariant |
L |
2.3884453323766 |
L(r)(E,1)/r! |
Ω |
0.2985556665245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960by4 12240u3 16320cs4 |
Quadratic twists by: -4 8 -3 |