Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024bo |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
187121664 = 214 · 35 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -1 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-325,-2269] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
232428544/11421 |
j-invariant |
L |
5.7619990531172 |
L(r)(E,1)/r! |
Ω |
1.1275599085107 |
Real period |
R |
1.0220297847815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9024i1 2256a1 27072cl1 |
Quadratic twists by: -4 8 -3 |