Atkin-Lehner |
3+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
4161b |
Isogeny class |
Conductor |
4161 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17313921 = 32 · 192 · 732 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 -4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92,236] |
[a1,a2,a3,a4,a6] |
j |
86175179713/17313921 |
j-invariant |
L |
1.0373186052853 |
L(r)(E,1)/r! |
Ω |
2.0746372105706 |
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 |
66576bd2 12483h2 104025j2 79059o2 |
Quadratic twists by: -4 -3 5 -19 |