Atkin-Lehner |
11- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8987d |
Isogeny class |
Conductor |
8987 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
992 |
Modular degree for the optimal curve |
Δ |
-170753 = -1 · 11 · 192 · 43 |
Discriminant |
Eigenvalues |
1 -1 -4 -2 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[8:15:1] |
Generators of the group modulo torsion |
j |
-1263214441/170753 |
j-invariant |
L |
2.0562890614045 |
L(r)(E,1)/r! |
Ω |
1.0875990842567 |
Real period |
R |
0.9453341268717 |
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 |
80883k1 98857b1 |
Quadratic twists by: -3 -11 |