Atkin-Lehner |
2- 3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
28320w |
Isogeny class |
Conductor |
28320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-401344243200 = -1 · 29 · 312 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 -5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,864,29160] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:90:1] [54:486:1] |
Generators of the group modulo torsion |
j |
139152888568/783875475 |
j-invariant |
L |
8.5885235457261 |
L(r)(E,1)/r! |
Ω |
0.68423823940241 |
Real period |
R |
0.26149893935421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28320r1 56640ce1 84960n1 |
Quadratic twists by: -4 8 -3 |