Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ej |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
51627221822668800 = 216 · 3 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333121,-73080479] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:880:1] |
Generators of the group modulo torsion |
j |
62380825826921284/787768887675 |
j-invariant |
L |
5.3605111431249 |
L(r)(E,1)/r! |
Ω |
0.19887521945294 |
Real period |
R |
0.84231697504716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920co3 18480z3 |
Quadratic twists by: -4 8 |