Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420n |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-8.3969980461859E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31746783,81755340518] |
[a1,a2,a3,a4,a6] |
j |
-18960744621943664729296/4499420249370871125 |
j-invariant |
L |
1.0198045431703 |
L(r)(E,1)/r! |
Ω |
0.084983711930858 |
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 |
85680dl2 7140f2 107100bc2 |
Quadratic twists by: -4 -3 5 |