Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9016c |
Isogeny class |
Conductor |
9016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
2019584 = 28 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- -4 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44,-76] |
[a1,a2,a3,a4,a6] |
j |
109744/23 |
j-invariant |
L |
1.8775589743195 |
L(r)(E,1)/r! |
Ω |
1.8775589743195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18032n1 72128i1 81144bz1 9016d1 |
Quadratic twists by: -4 8 -3 -7 |