Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13120y |
Isogeny class |
Conductor |
13120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5508300800 = 217 · 52 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 6 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4321,110721] |
[a1,a2,a3,a4,a6] |
j |
68087453042/42025 |
j-invariant |
L |
2.6799324531344 |
L(r)(E,1)/r! |
Ω |
1.3399662265672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13120g2 3280e2 118080gn2 65600bp2 |
Quadratic twists by: -4 8 -3 5 |