Atkin-Lehner |
2- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4544l |
Isogeny class |
Conductor |
4544 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
9306112 = 217 · 71 |
Discriminant |
Eigenvalues |
2- -1 -2 -5 2 1 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-289,1985] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:16:1] [7:16:1] |
Generators of the group modulo torsion |
j |
20436626/71 |
j-invariant |
L |
3.4851922070517 |
L(r)(E,1)/r! |
Ω |
2.3158587662724 |
Real period |
R |
0.37623108302331 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4544f1 1136a1 40896ca1 113600cb1 |
Quadratic twists by: -4 8 -3 5 |