Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
11748d |
Isogeny class |
Conductor |
11748 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-6485624563968 = -1 · 28 · 33 · 113 · 893 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4652,-8524] |
[a1,a2,a3,a4,a6] |
Generators |
[11:210:1] |
Generators of the group modulo torsion |
j |
43481999342000/25334470953 |
j-invariant |
L |
4.74005775502 |
L(r)(E,1)/r! |
Ω |
0.44392284790169 |
Real period |
R |
3.5592203896278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46992f2 35244e2 129228h2 |
Quadratic twists by: -4 -3 -11 |