Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
84216i |
Isogeny class |
Conductor |
84216 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-375882392945562624 = -1 · 210 · 310 · 118 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32952,29576160] |
[a1,a2,a3,a4,a6] |
j |
-2181354052/207202941 |
j-invariant |
L |
4.955111786611 |
L(r)(E,1)/r! |
Ω |
0.24775559335715 |
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 |
7656g2 |
Quadratic twists by: -11 |