Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
48204j |
Isogeny class |
Conductor |
48204 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6585972911960832 = 28 · 315 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10023213495,386241188704382] |
[a1,a2,a3,a4,a6] |
Generators |
[21368931897981827277338:4529125457797256093:369691725989731816] |
Generators of the group modulo torsion |
j |
596729023407096162852374674000/35290064043 |
j-invariant |
L |
5.875971926364 |
L(r)(E,1)/r! |
Ω |
0.10632136903376 |
Real period |
R |
27.633071224368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16068b2 |
Quadratic twists by: -3 |