Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38115t |
Isogeny class |
Conductor |
38115 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4785695992625625 = 36 · 54 · 72 · 118 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698798,224990956] |
[a1,a2,a3,a4,a6] |
j |
29220958012401/3705625 |
j-invariant |
L |
1.6693904889814 |
L(r)(E,1)/r! |
Ω |
0.41734762224323 |
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 |
4235g2 3465f2 |
Quadratic twists by: -3 -11 |