Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
41280z |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
71331840000 = 215 · 34 · 54 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148641,-22107105] |
[a1,a2,a3,a4,a6] |
j |
11083898859981128/2176875 |
j-invariant |
L |
3.8903138951703 |
L(r)(E,1)/r! |
Ω |
0.24314461844542 |
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 |
41280j4 20640s2 123840cl4 |
Quadratic twists by: -4 8 -3 |