Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232m |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-22175262369792 = -1 · 211 · 37 · 7 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5541,161642] |
[a1,a2,a3,a4,a6] |
j |
12601744846/14852901 |
j-invariant |
L |
3.6238581500855 |
L(r)(E,1)/r! |
Ω |
0.45298226876066 |
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 |
14616l4 116928eh3 9744c4 |
Quadratic twists by: -4 8 -3 |