Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
153593761628160 = 217 · 314 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-377292,-89197936] |
[a1,a2,a3,a4,a6] |
Generators |
[-355:43:1] |
Generators of the group modulo torsion |
j |
62161150998242/1607445 |
j-invariant |
L |
6.1465578946959 |
L(r)(E,1)/r! |
Ω |
0.19263306259567 |
Real period |
R |
3.9885143624055 |
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 |
20160cd5 5040m5 6720bm5 100800lw6 |
Quadratic twists by: -4 8 -3 5 |