Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320p |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
12 |
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 |
4.1497396946538 |
L(r)(E,1)/r! |
Ω |
1.3832465648842 |
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 |
28320h4 56640bo4 84960bc4 |
Quadratic twists by: -4 8 -3 |