Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9024bi |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-8287010353152 = -1 · 212 · 316 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17433,-890919] |
[a1,a2,a3,a4,a6] |
Generators |
[78365:907472:343] |
Generators of the group modulo torsion |
j |
-143055667000000/2023195887 |
j-invariant |
L |
3.7019809963002 |
L(r)(E,1)/r! |
Ω |
0.20756741641054 |
Real period |
R |
8.917538841882 |
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 |
9024bn1 4512q1 27072bv1 |
Quadratic twists by: -4 8 -3 |