Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888j |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-637671164806139904 = -1 · 212 · 322 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,159396,29599360] |
[a1,a2,a3,a4,a6] |
Generators |
[-9254880:-320406416:91125] |
Generators of the group modulo torsion |
j |
149992136715968/213554782881 |
j-invariant |
L |
9.3091553457106 |
L(r)(E,1)/r! |
Ω |
0.19514463646358 |
Real period |
R |
11.92596884069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999249564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888e2 43296bb2 |
Quadratic twists by: -4 -3 |