Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160cl |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5485491486720 = 215 · 314 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14412,-656336] |
[a1,a2,a3,a4,a6] |
j |
13858588808/229635 |
j-invariant |
L |
3.489352557705 |
L(r)(E,1)/r! |
Ω |
0.43616906971312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160cc4 10080u2 6720v4 100800dz3 |
Quadratic twists by: -4 8 -3 5 |