Atkin-Lehner |
3- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
4161d |
Isogeny class |
Conductor |
4161 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-232903374258771 = -1 · 34 · 19 · 736 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,103,-734245] |
[a1,a2,a3,a4,a6] |
j |
122541299063/232903374258771 |
j-invariant |
L |
2.0482344096026 |
L(r)(E,1)/r! |
Ω |
0.25602930120032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66576s2 12483f2 104025c2 79059d2 |
Quadratic twists by: -4 -3 5 -19 |