Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560bt |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
929856937680 = 24 · 38 · 5 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16698,829213] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1089:1] [86:171:1] |
Generators of the group modulo torsion |
j |
24918016/45 |
j-invariant |
L |
8.7698807507854 |
L(r)(E,1)/r! |
Ω |
0.88396235262811 |
Real period |
R |
2.4802755243796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120x1 14520v1 360a1 |
Quadratic twists by: -4 -3 -11 |