Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31122bd |
Isogeny class |
Conductor |
31122 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-1.0002139375847E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4138115,3244656899] |
[a1,a2,a3,a4,a6] |
j |
-10749883374191785083625/13720355796772352 |
j-invariant |
L |
4.1154500886165 |
L(r)(E,1)/r! |
Ω |
0.22863611603431 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3458c3 |
Quadratic twists by: -3 |