Atkin-Lehner |
3+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
3243a |
Isogeny class |
Conductor |
3243 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
305306328935961 = 324 · 23 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 2 -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16837,12746] |
[a1,a2,a3,a4,a6] |
j |
527860858731041233/305306328935961 |
j-invariant |
L |
0.23090693606632 |
L(r)(E,1)/r! |
Ω |
0.46181387213263 |
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 |
51888v3 9729b3 81075t3 74589h3 |
Quadratic twists by: -4 -3 5 -23 |