Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
16434p |
Isogeny class |
Conductor |
16434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-18340639812 = -1 · 22 · 36 · 11 · 833 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500,7931] |
[a1,a2,a3,a4,a6] |
j |
-18927429625/25158628 |
j-invariant |
L |
4.4220072970242 |
L(r)(E,1)/r! |
Ω |
1.1055018242561 |
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 |
1826a1 |
Quadratic twists by: -3 |