Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560q |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
103317437520 = 24 · 36 · 5 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2178,35937] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:242:1] |
Generators of the group modulo torsion |
j |
55296/5 |
j-invariant |
L |
6.5905234050214 |
L(r)(E,1)/r! |
Ω |
1.0336121753791 |
Real period |
R |
1.5940513187666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120bk1 4840g1 360e1 |
Quadratic twists by: -4 -3 -11 |