Atkin-Lehner |
2- 3- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
129228h |
Isogeny class |
Conductor |
129228 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.1489679538168E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,562852,13596900] |
[a1,a2,a3,a4,a6] |
j |
43481999342000/25334470953 |
j-invariant |
L |
4.9243424323312 |
L(r)(E,1)/r! |
Ω |
0.13678731429451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11748d2 |
Quadratic twists by: -11 |