Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4128n |
Isogeny class |
Conductor |
4128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
416 |
Modular degree for the optimal curve |
Δ |
8256 = 26 · 3 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[255:550:27] |
Generators of the group modulo torsion |
j |
131096512/129 |
j-invariant |
L |
4.4945141957963 |
L(r)(E,1)/r! |
Ω |
1.8717791058412 |
Real period |
R |
4.8023980840158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4128b1 8256k1 12384f1 103200g1 |
Quadratic twists by: -4 8 -3 5 |