Atkin-Lehner |
2- 3- 7+ 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
38766bc |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
9066832894392 = 23 · 3 · 78 · 13 · 712 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8388274,-9351676852] |
[a1,a2,a3,a4,a6] |
j |
65274197271415308963180577/9066832894392 |
j-invariant |
L |
4.2581665081818 |
L(r)(E,1)/r! |
Ω |
0.088711802253643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116298h6 |
Quadratic twists by: -3 |