Atkin-Lehner |
3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169g |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-365818761 = -1 · 36 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
1 3- 1 7+ 11- 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-918] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1616:1] |
Generators of the group modulo torsion |
j |
-49/209 |
j-invariant |
L |
8.5562079325973 |
L(r)(E,1)/r! |
Ω |
0.7709707888922 |
Real period |
R |
3.6993221391974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10241a1 92169bj1 |
Quadratic twists by: -3 -7 |