Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dd |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
48554311680 = 220 · 33 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6732,-212336] |
[a1,a2,a3,a4,a6] |
Generators |
[3558:29440:27] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
5.2282499698463 |
L(r)(E,1)/r! |
Ω |
0.52710976275995 |
Real period |
R |
4.9593560385518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160t1 5040u1 20160cr3 100800jo1 |
Quadratic twists by: -4 8 -3 5 |