Atkin-Lehner |
2- 3- 7- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84042bv |
Isogeny class |
Conductor |
84042 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
4.5500188367501E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-84176600,297278388083] |
[a1,a2,a3,a4,a6] |
j |
90483693329825091481389625/624145245096039912 |
j-invariant |
L |
3.5777282882723 |
L(r)(E,1)/r! |
Ω |
0.14907201339886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
28014k4 |
Quadratic twists by: -3 |