Atkin-Lehner |
2- 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766bc |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-170236710557379648 = -1 · 26 · 38 · 7 · 138 · 71 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,121446,-11334492] |
[a1,a2,a3,a4,a6] |
j |
198094826897032482143/170236710557379648 |
j-invariant |
L |
4.2581665081818 |
L(r)(E,1)/r! |
Ω |
0.17742360450729 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
116298h3 |
Quadratic twists by: -3 |