Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480z |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
192099600000000 = 210 · 34 · 58 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128360,17645508] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:5940:1] |
Generators of the group modulo torsion |
j |
228410605013945764/187597265625 |
j-invariant |
L |
6.2167771018835 |
L(r)(E,1)/r! |
Ω |
0.56250406514053 |
Real period |
R |
1.3814960386843 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
9240y3 73920ej4 55440m4 92400n4 |
Quadratic twists by: -4 8 -3 5 |