Atkin-Lehner |
2- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
120640cr |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
339258982400 = 214 · 52 · 134 · 29 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1745,943] |
[a1,a2,a3,a4,a6] |
j |
35887146064/20706725 |
j-invariant |
L |
1.6346535178963 |
L(r)(E,1)/r! |
Ω |
0.81732662188109 |
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 |
120640bf2 30160b2 |
Quadratic twists by: -4 8 |