Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
2400ba |
Isogeny class |
Conductor |
2400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
225000000 = 26 · 32 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258,-1512] |
[a1,a2,a3,a4,a6] |
Generators |
[42:252:1] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
3.6528720571504 |
L(r)(E,1)/r! |
Ω |
1.2000215130294 |
Real period |
R |
3.0440054761426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2400a1 4800a2 7200f1 480b1 |
Quadratic twists by: -4 8 -3 5 |