Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fh |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-148684800 = -1 · 214 · 3 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 2 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,59,541] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:15:1] |
Generators of the group modulo torsion |
j |
11264/75 |
j-invariant |
L |
4.6414819674837 |
L(r)(E,1)/r! |
Ω |
1.3290100145206 |
Real period |
R |
1.7462178258775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000242 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160de1 29040bk1 116160fj1 |
Quadratic twists by: -4 8 -11 |