Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320p |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
4060238400 = 26 · 36 · 52 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1070,12768] |
[a1,a2,a3,a4,a6] |
j |
2118853307584/63441225 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
28320h1 56640bo2 84960bc1 |
Quadratic twists by: -4 8 -3 |