Atkin-Lehner |
3- 11+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
55341b |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-66823870168341 = -1 · 312 · 113 · 133 · 43 |
Discriminant |
Eigenvalues |
-1 3- 1 3 11+ 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6898,-327382] |
[a1,a2,a3,a4,a6] |
j |
49799476461671/91665116829 |
j-invariant |
L |
1.2957917336305 |
L(r)(E,1)/r! |
Ω |
0.32394793336196 |
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 |
18447h1 |
Quadratic twists by: -3 |