Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616r |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5644499173767168 = 211 · 3 · 114 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288032,-59485152] |
[a1,a2,a3,a4,a6] |
Generators |
[706844365095:-415903915686:1141166125] |
Generators of the group modulo torsion |
j |
267335955794/570999 |
j-invariant |
L |
8.5486022683135 |
L(r)(E,1)/r! |
Ω |
0.20610806005758 |
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 |
89232h4 3432d3 |
Quadratic twists by: -4 13 |