Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4312j |
Isogeny class |
Conductor |
4312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
60368 = 24 · 73 · 11 |
Discriminant |
Eigenvalues |
2- -2 0 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23,34] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:7:1] |
Generators of the group modulo torsion |
j |
256000/11 |
j-invariant |
L |
2.5432154555589 |
L(r)(E,1)/r! |
Ω |
3.4740662744513 |
Real period |
R |
0.7320572650735 |
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 |
8624h1 34496bp1 38808bc1 107800j1 |
Quadratic twists by: -4 8 -3 5 |