Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fc |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-202007819427840000 = -1 · 216 · 310 · 54 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24492,21674576] |
[a1,a2,a3,a4,a6] |
j |
-34008619684/4228250625 |
j-invariant |
L |
2.0812361113351 |
L(r)(E,1)/r! |
Ω |
0.26015451396298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ck3 12240g4 16320bs4 |
Quadratic twists by: -4 8 -3 |