Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048i |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
56320 |
Modular degree for the optimal curve |
Δ |
-43481794032 = -1 · 24 · 311 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 1 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,10033] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:81:1] |
Generators of the group modulo torsion |
j |
-562432/3727863 |
j-invariant |
L |
8.2228864394819 |
L(r)(E,1)/r! |
Ω |
0.9135653930533 |
Real period |
R |
1.1251091723093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48024m1 32016h1 |
Quadratic twists by: -4 -3 |