Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466bp |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-1421397374552064 = -1 · 211 · 33 · 711 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 13- 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-183686,-30309611] |
[a1,a2,a3,a4,a6] |
j |
-215773279370739/447469568 |
j-invariant |
L |
5.0728198375016 |
L(r)(E,1)/r! |
Ω |
0.11529135994322 |
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 |
91728cy1 11466h1 1638l1 |
Quadratic twists by: -4 -3 -7 |