Atkin-Lehner |
7+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
9443a |
Isogeny class |
Conductor |
9443 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29280 |
Modular degree for the optimal curve |
Δ |
-1645902812761697 = -1 · 7 · 194 · 715 |
Discriminant |
Eigenvalues |
1 1 0 7+ 3 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31651,-2919341] |
[a1,a2,a3,a4,a6] |
Generators |
[18585223247:-11266980011359:50653] |
Generators of the group modulo torsion |
j |
-3506439058384515625/1645902812761697 |
j-invariant |
L |
5.9825882643878 |
L(r)(E,1)/r! |
Ω |
0.17502598991902 |
Real period |
R |
17.090571140765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84987g1 66101h1 |
Quadratic twists by: -3 -7 |