Atkin-Lehner |
2+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1066c |
Isogeny class |
Conductor |
1066 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2184 |
Modular degree for the optimal curve |
Δ |
-45829062656 = -1 · 221 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -3 1 3 6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-544,-11264] |
[a1,a2,a3,a4,a6] |
j |
-17822531769561/45829062656 |
j-invariant |
L |
0.91964987906036 |
L(r)(E,1)/r! |
Ω |
0.45982493953018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8528i1 34112l1 9594q1 26650p1 |
Quadratic twists by: -4 8 -3 5 |