Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cx |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
19987441991302500 = 22 · 34 · 54 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-279445,56426525] |
[a1,a2,a3,a4,a6] |
j |
499980107400409/4140922500 |
j-invariant |
L |
6.1871488715263 |
L(r)(E,1)/r! |
Ω |
0.3866968043859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290k2 |
Quadratic twists by: 13 |