Atkin-Lehner |
2- 3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
90090cy |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
236724657700781250 = 2 · 39 · 58 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1416893,-648386269] |
[a1,a2,a3,a4,a6] |
j |
431526092373443539081/324725182031250 |
j-invariant |
L |
4.4282782204308 |
L(r)(E,1)/r! |
Ω |
0.13838369825764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30030y4 |
Quadratic twists by: -3 |