Atkin-Lehner |
3- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
5673d |
Isogeny class |
Conductor |
5673 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2080 |
Modular degree for the optimal curve |
Δ |
-3461511429 = -1 · 310 · 312 · 61 |
Discriminant |
Eigenvalues |
-1 3- -1 1 -1 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-731,-8178] |
[a1,a2,a3,a4,a6] |
Generators |
[61:388:1] |
Generators of the group modulo torsion |
j |
-43202907409969/3461511429 |
j-invariant |
L |
2.9103955361515 |
L(r)(E,1)/r! |
Ω |
0.45698064076775 |
Real period |
R |
0.31843750878176 |
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 |
90768c1 17019e1 |
Quadratic twists by: -4 -3 |