Atkin-Lehner |
3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5547a |
Isogeny class |
Conductor |
5547 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13860 |
Modular degree for the optimal curve |
Δ |
7339102499889 = 33 · 437 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45339,3694656] |
[a1,a2,a3,a4,a6] |
j |
1630532233/1161 |
j-invariant |
L |
0.184271422398 |
L(r)(E,1)/r! |
Ω |
0.737085689592 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
88752bg1 16641j1 129b2 |
Quadratic twists by: -4 -3 -43 |