Atkin-Lehner |
2+ 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
18584b |
Isogeny class |
Conductor |
18584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-60063488 = -1 · 28 · 23 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,89,186] |
[a1,a2,a3,a4,a6] |
Generators |
[23:120:1] |
Generators of the group modulo torsion |
j |
304546608/234623 |
j-invariant |
L |
3.3769620957101 |
L(r)(E,1)/r! |
Ω |
1.2659764554634 |
Real period |
R |
2.6674762244878 |
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 |
37168a2 |
Quadratic twists by: -4 |