Atkin-Lehner |
11+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8041a |
Isogeny class |
Conductor |
8041 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9360 |
Modular degree for the optimal curve |
Δ |
-30583083113 = -1 · 113 · 172 · 433 |
Discriminant |
Eigenvalues |
-1 3 -2 -2 11+ 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-171,8500] |
[a1,a2,a3,a4,a6] |
j |
-549957165057/30583083113 |
j-invariant |
L |
1.9440635844392 |
L(r)(E,1)/r! |
Ω |
0.97203179221961 |
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 |
128656y1 72369j1 88451b1 |
Quadratic twists by: -4 -3 -11 |