Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920b |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7652051870548377600 = 214 · 312 · 52 · 74 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-550481,-83481519] |
[a1,a2,a3,a4,a6] |
Generators |
[2731:137020:1] |
Generators of the group modulo torsion |
j |
1125982298608534096/467044181552025 |
j-invariant |
L |
4.7614113554507 |
L(r)(E,1)/r! |
Ω |
0.18181699417396 |
Real period |
R |
6.5469833789599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999438 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gx2 9240bh2 |
Quadratic twists by: -4 8 |