Atkin-Lehner |
2- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8176b |
Isogeny class |
Conductor |
8176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1677056933888 = 217 · 74 · 732 |
Discriminant |
Eigenvalues |
2- 0 4 7- -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3923,-71150] |
[a1,a2,a3,a4,a6] |
j |
1630116669609/409437728 |
j-invariant |
L |
2.4574961487991 |
L(r)(E,1)/r! |
Ω |
0.61437403719979 |
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 |
1022a2 32704e2 73584bl2 57232i2 |
Quadratic twists by: -4 8 -3 -7 |