Atkin-Lehner |
2- 3+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20532a |
Isogeny class |
Conductor |
20532 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1314048 = 28 · 3 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 0 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,-447] |
[a1,a2,a3,a4,a6] |
Generators |
[16:39:1] |
Generators of the group modulo torsion |
j |
697827328/5133 |
j-invariant |
L |
4.4800026661144 |
L(r)(E,1)/r! |
Ω |
1.4512317567497 |
Real period |
R |
3.0870346140635 |
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 |
82128y1 61596i1 |
Quadratic twists by: -4 -3 |