Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fe |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-138071900160000 = -1 · 220 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7188,514384] |
[a1,a2,a3,a4,a6] |
j |
214921799/722500 |
j-invariant |
L |
3.2994047940306 |
L(r)(E,1)/r! |
Ω |
0.41242559929204 |
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 |
48960cr2 12240bn2 5440t2 |
Quadratic twists by: -4 8 -3 |