Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
232286861721600 = 216 · 310 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24492,-1280176] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:288:1] |
Generators of the group modulo torsion |
j |
34008619684/4862025 |
j-invariant |
L |
6.1465578946959 |
L(r)(E,1)/r! |
Ω |
0.38526612519134 |
Real period |
R |
1.9942571812028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20160cd3 5040m3 6720bm3 100800lw4 |
Quadratic twists by: -4 8 -3 5 |