Atkin-Lehner |
2- 3- 7- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766bg |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
444537472423036356 = 22 · 38 · 76 · 134 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-650397,199271565] |
[a1,a2,a3,a4,a6] |
j |
30427014537802622778193/444537472423036356 |
j-invariant |
L |
7.1488477462916 |
L(r)(E,1)/r! |
Ω |
0.29786865609747 |
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 |
116298l2 |
Quadratic twists by: -3 |