Atkin-Lehner |
3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431c |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1571013177894016311 = -1 · 3 · 7 · 1314 · 19 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,259074,-32457225] |
[a1,a2,a3,a4,a6] |
j |
398412054846287/325476557679 |
j-invariant |
L |
0.59271341739691 |
L(r)(E,1)/r! |
Ω |
0.14817835484191 |
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 |
5187b4 |
Quadratic twists by: 13 |