Atkin-Lehner |
2+ 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
28320h |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
509760000 = 29 · 33 · 54 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17000,-847500] |
[a1,a2,a3,a4,a6] |
j |
1061270425224008/995625 |
j-invariant |
L |
0.83620972797112 |
L(r)(E,1)/r! |
Ω |
0.41810486398558 |
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 |
28320p4 56640cu4 84960bf4 |
Quadratic twists by: -4 8 -3 |