Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560cm |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-460279184151600 = -1 · 24 · 310 · 52 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12342,1159301] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:1089:1] |
Generators of the group modulo torsion |
j |
-10061824/22275 |
j-invariant |
L |
6.6861939733089 |
L(r)(E,1)/r! |
Ω |
0.467628166913 |
Real period |
R |
0.8936312072266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87120ck1 14520e1 3960h1 |
Quadratic twists by: -4 -3 -11 |