Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10956b |
Isogeny class |
Conductor |
10956 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-30183672017664 = -1 · 28 · 317 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11+ -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19381,1065191] |
[a1,a2,a3,a4,a6] |
Generators |
[122:729:1] |
Generators of the group modulo torsion |
j |
-3145101744799744/117904968819 |
j-invariant |
L |
5.4635467610394 |
L(r)(E,1)/r! |
Ω |
0.65662297145946 |
Real period |
R |
0.48945150803392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43824s1 32868g1 120516j1 |
Quadratic twists by: -4 -3 -11 |