Atkin-Lehner |
2- 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
8034k |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-17557937436 = -1 · 22 · 3 · 13 · 1034 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,611,2669] |
[a1,a2,a3,a4,a6] |
j |
25223358788783/17557937436 |
j-invariant |
L |
3.1110214149727 |
L(r)(E,1)/r! |
Ω |
0.77775535374318 |
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 |
64272t3 24102n3 104442m3 |
Quadratic twists by: -4 -3 13 |