Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280cy |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2064000000000000 = 216 · 3 · 512 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31841,59295] |
[a1,a2,a3,a4,a6] |
j |
54477543627364/31494140625 |
j-invariant |
L |
3.1540835547435 |
L(r)(E,1)/r! |
Ω |
0.39426044435637 |
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 |
41280a4 10320e3 123840gf4 |
Quadratic twists by: -4 8 -3 |