Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616r |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9317028313122816 = 211 · 3 · 11 · 1310 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-247472,47074080] |
[a1,a2,a3,a4,a6] |
Generators |
[1974607419939:24502118860610:4227952113] |
Generators of the group modulo torsion |
j |
169556172914/942513 |
j-invariant |
L |
8.5486022683135 |
L(r)(E,1)/r! |
Ω |
0.41221612011516 |
Real period |
R |
20.738156154417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89232h3 3432d4 |
Quadratic twists by: -4 13 |