Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024bj |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
9024 = 26 · 3 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -3 4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,3] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1:1] |
Generators of the group modulo torsion |
j |
262144/141 |
j-invariant |
L |
4.459788945793 |
L(r)(E,1)/r! |
Ω |
3.5924603846282 |
Real period |
R |
1.2414302367469 |
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 |
9024m1 2256o1 27072cc1 |
Quadratic twists by: -4 8 -3 |