Atkin-Lehner |
2+ 3- 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682n |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1838592 |
Modular degree for the optimal curve |
Δ |
-508845474747777024 = -1 · 219 · 315 · 112 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 11+ 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,80487,-33195987] |
[a1,a2,a3,a4,a6] |
Generators |
[11781:1273140:1] |
Generators of the group modulo torsion |
j |
79098886387694447/698004766457856 |
j-invariant |
L |
5.3764296028003 |
L(r)(E,1)/r! |
Ω |
0.14543366494416 |
Real period |
R |
4.621032547571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894be1 |
Quadratic twists by: -3 |