Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184bu |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1696381659678375936 = 217 · 314 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-481899,112482970] |
[a1,a2,a3,a4,a6] |
j |
4144806984356137/568114785504 |
j-invariant |
L |
3.0670702723561 |
L(r)(E,1)/r! |
Ω |
0.25558918936301 |
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 |
2898o2 92736fb2 7728u2 |
Quadratic twists by: -4 8 -3 |