Atkin-Lehner |
3- 89- |
Signs for the Atkin-Lehner involutions |
Class |
801d |
Isogeny class |
Conductor |
801 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60 |
Modular degree for the optimal curve |
Δ |
-64881 = -1 · 36 · 89 |
Discriminant |
Eigenvalues |
1 3- 1 -4 2 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,-14] |
[a1,a2,a3,a4,a6] |
Generators |
[6:8:1] |
Generators of the group modulo torsion |
j |
-117649/89 |
j-invariant |
L |
2.7050732537343 |
L(r)(E,1)/r! |
Ω |
1.3275315216777 |
Real period |
R |
2.0376715803447 |
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 |
12816l1 51264t1 89a1 20025n1 |
Quadratic twists by: -4 8 -3 5 |