Atkin-Lehner |
2- 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024be |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-27721728 = -1 · 216 · 32 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -6 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-255] |
[a1,a2,a3,a4,a6] |
Generators |
[7:16:1] [8:21:1] |
Generators of the group modulo torsion |
j |
48668/423 |
j-invariant |
L |
4.5864487200308 |
L(r)(E,1)/r! |
Ω |
1.0426734054512 |
Real period |
R |
2.1993697624075 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9024w1 2256d1 27072co1 |
Quadratic twists by: -4 8 -3 |