Atkin-Lehner |
3- 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18585d |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2266183998225 = 312 · 52 · 72 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-167265,26372056] |
[a1,a2,a3,a4,a6] |
j |
709925651909767441/3108620025 |
j-invariant |
L |
1.4462717839945 |
L(r)(E,1)/r! |
Ω |
0.72313589199724 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6195e2 92925n2 |
Quadratic twists by: -3 5 |