Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38976bn |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3472293888 = 216 · 32 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481,3073] |
[a1,a2,a3,a4,a6] |
j |
188183524/52983 |
j-invariant |
L |
2.6221185863013 |
L(r)(E,1)/r! |
Ω |
1.3110592931697 |
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 |
38976t2 9744f2 116928ej2 |
Quadratic twists by: -4 8 -3 |