Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6072j |
Isogeny class |
Conductor |
6072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
133584 = 24 · 3 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19,-34] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] |
Generators of the group modulo torsion |
j |
49948672/8349 |
j-invariant |
L |
4.4542978413618 |
L(r)(E,1)/r! |
Ω |
2.3026616034977 |
Real period |
R |
1.9344126964187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12144e1 48576s1 18216c1 66792n1 |
Quadratic twists by: -4 8 -3 -11 |