Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280k |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.244146875E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1887267,-115818626] |
[a1,a2,a3,a4,a6] |
j |
497927680189263938/284271240234375 |
j-invariant |
L |
2.2310857818466 |
L(r)(E,1)/r! |
Ω |
0.13944286136542 |
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 |
16560q4 66240bq3 2760h4 41400bi3 |
Quadratic twists by: -4 8 -3 5 |