Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160d |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
4838400 = 210 · 33 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,72] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
442368/175 |
j-invariant |
L |
4.8708465720758 |
L(r)(E,1)/r! |
Ω |
2.2138581625327 |
Real period |
R |
1.1000809931074 |
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 |
20160cz1 1260c1 20160r1 100800y1 |
Quadratic twists by: -4 8 -3 5 |