Atkin-Lehner |
2+ 13+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67184f |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
1.8712932962897E+26 |
Discriminant |
Eigenvalues |
2+ -2 0 2 4 13+ 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159933008,-415845534476] |
[a1,a2,a3,a4,a6] |
j |
220906288469702657396281250/91371742982897948730211 |
j-invariant |
L |
1.232879641533 |
L(r)(E,1)/r! |
Ω |
0.044031416024088 |
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 |
33592j2 |
Quadratic twists by: -4 |