Atkin-Lehner |
7+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
4081a |
Isogeny class |
Conductor |
4081 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
27277810683893 = 74 · 118 · 53 |
Discriminant |
Eigenvalues |
-1 0 2 7+ 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15229,682096] |
[a1,a2,a3,a4,a6] |
j |
390581021251084833/27277810683893 |
j-invariant |
L |
0.6536773863216 |
L(r)(E,1)/r! |
Ω |
0.6536773863216 |
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 |
65296bc3 36729o3 102025b3 28567a3 |
Quadratic twists by: -4 -3 5 -7 |