Atkin-Lehner |
2- 3+ 5- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090ck |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
38655875938680 = 23 · 39 · 5 · 74 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-696602,-223607519] |
[a1,a2,a3,a4,a6] |
j |
1899266841848476827/1963921960 |
j-invariant |
L |
3.9661093390301 |
L(r)(E,1)/r! |
Ω |
0.16525455958923 |
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 |
90090c2 |
Quadratic twists by: -3 |