Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168cp |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
320640 |
Modular degree for the optimal curve |
Δ |
-1597629744 = -1 · 24 · 310 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -3 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-459781,119845046] |
[a1,a2,a3,a4,a6] |
Generators |
[3130:-27:8] |
Generators of the group modulo torsion |
j |
-671827436059837333504/99851859 |
j-invariant |
L |
5.9491409470922 |
L(r)(E,1)/r! |
Ω |
0.86189261674229 |
Real period |
R |
0.69024154874996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292b1 |
Quadratic twists by: -4 |