Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032z |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-2121446768 = -1 · 24 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 7- 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,-2225] |
[a1,a2,a3,a4,a6] |
j |
32000/1127 |
j-invariant |
L |
1.4118650760877 |
L(r)(E,1)/r! |
Ω |
0.70593253804386 |
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 |
4508a1 72128bx1 2576m1 |
Quadratic twists by: -4 8 -7 |