Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
5566c |
Isogeny class |
Conductor |
5566 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
3585639464 = 23 · 117 · 23 |
Discriminant |
Eigenvalues |
2+ 0 -3 3 11- 1 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-446,2316] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:70:1] |
Generators of the group modulo torsion |
j |
5545233/2024 |
j-invariant |
L |
2.4671013625706 |
L(r)(E,1)/r! |
Ω |
1.2849375083257 |
Real period |
R |
0.48000415323414 |
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 |
44528n1 50094cb1 506e1 128018e1 |
Quadratic twists by: -4 -3 -11 -23 |