Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160hz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
173425950720 = 217 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -5 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21281,1187679] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-48:1] [1:1080:1] |
Generators of the group modulo torsion |
j |
67208610722/10935 |
j-invariant |
L |
11.941150508039 |
L(r)(E,1)/r! |
Ω |
0.98337045282944 |
Real period |
R |
0.43368158955975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999974732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160w1 29040s1 116160hx1 |
Quadratic twists by: -4 8 -11 |