Atkin-Lehner |
2+ 3- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666d |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-820939193856 = -1 · 29 · 39 · 29 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 0 -2 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1224,46912] |
[a1,a2,a3,a4,a6] |
Generators |
[83:674:1] |
Generators of the group modulo torsion |
j |
-278317173889/1126116864 |
j-invariant |
L |
4.4950733454032 |
L(r)(E,1)/r! |
Ω |
0.77863737718471 |
Real period |
R |
0.72162496258139 |
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 |
9222h1 |
Quadratic twists by: -3 |