Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bc |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4759973335353600 = 28 · 312 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97023,-11148478] |
[a1,a2,a3,a4,a6] |
Generators |
[-167:630:1] |
Generators of the group modulo torsion |
j |
541228074045136/25505687025 |
j-invariant |
L |
4.8631915266201 |
L(r)(E,1)/r! |
Ω |
0.27129839808786 |
Real period |
R |
2.2407022861617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65520u2 10920e2 |
Quadratic twists by: -4 -3 |