Atkin-Lehner |
23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38663c |
Isogeny class |
Conductor |
38663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
173185043294405369 = 232 · 419 |
Discriminant |
Eigenvalues |
-1 -2 -2 -4 -4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-334554,-71767541] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:879:1] |
Generators of the group modulo torsion |
j |
12649337/529 |
j-invariant |
L |
0.83331998235729 |
L(r)(E,1)/r! |
Ω |
0.19902277884571 |
Real period |
R |
4.187058321629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38663b2 |
Quadratic twists by: 41 |