Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032y |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-43294832 = -1 · 24 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 7- 0 1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,82,167] |
[a1,a2,a3,a4,a6] |
j |
32000/23 |
j-invariant |
L |
2.5780143584009 |
L(r)(E,1)/r! |
Ω |
1.2890071792004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4508b1 72128bz1 368e1 |
Quadratic twists by: -4 8 -7 |