Atkin-Lehner |
23+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
2369a |
Isogeny class |
Conductor |
2369 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
244007 = 23 · 1032 |
Discriminant |
Eigenvalues |
1 -2 0 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-121,-519] |
[a1,a2,a3,a4,a6] |
j |
193602111625/244007 |
j-invariant |
L |
0.72050482853885 |
L(r)(E,1)/r! |
Ω |
1.4410096570777 |
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 |
37904f2 21321d2 59225d2 116081a2 |
Quadratic twists by: -4 -3 5 -7 |