Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160du |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-1632960 = -1 · 26 · 36 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 -5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,142] |
[a1,a2,a3,a4,a6] |
Generators |
[3:5:1] |
Generators of the group modulo torsion |
j |
-262144/35 |
j-invariant |
L |
4.3449664163235 |
L(r)(E,1)/r! |
Ω |
2.5826608055219 |
Real period |
R |
1.682360458266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160bq1 5040bk1 2240w1 100800nn1 |
Quadratic twists by: -4 8 -3 5 |