Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520m |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1128168463968000 = -1 · 28 · 318 · 53 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25377,-436322] |
[a1,a2,a3,a4,a6] |
j |
9684496745264/6045141375 |
j-invariant |
L |
2.2534197690294 |
L(r)(E,1)/r! |
Ω |
0.28167747039922 |
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 |
32760bf1 21840r1 |
Quadratic twists by: -4 -3 |