Atkin-Lehner |
2+ 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024h |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
9024 = 26 · 3 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 3 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47,141] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1:1] |
Generators of the group modulo torsion |
j |
183250432/141 |
j-invariant |
L |
2.4900923844969 |
L(r)(E,1)/r! |
Ω |
4.0781111617986 |
Real period |
R |
0.61059943824548 |
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 |
9024x1 4512o1 27072bf1 |
Quadratic twists by: -4 8 -3 |