Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520d |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2371803840000 = 29 · 32 · 54 · 77 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33336,-2330460] |
[a1,a2,a3,a4,a6] |
j |
68017239368/39375 |
j-invariant |
L |
1.4133352106647 |
L(r)(E,1)/r! |
Ω |
0.35333380266619 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23520bq4 47040dk4 70560ed4 117600he4 |
Quadratic twists by: -4 8 -3 5 |