Atkin-Lehner |
2+ 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
5478g |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
450687418368 = 214 · 3 · 113 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3625,77228] |
[a1,a2,a3,a4,a6] |
j |
5265935232125833/450687418368 |
j-invariant |
L |
2.7466591511604 |
L(r)(E,1)/r! |
Ω |
0.91555305038679 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824n1 16434k1 60258ba1 |
Quadratic twists by: -4 -3 -11 |