Atkin-Lehner |
3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18585n |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5681080811188125 = 37 · 54 · 73 · 594 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65709,-5357660] |
[a1,a2,a3,a4,a6] |
j |
43040219271568849/7792977793125 |
j-invariant |
L |
3.6228549251973 |
L(r)(E,1)/r! |
Ω |
0.30190457709977 |
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 |
6195b3 92925i4 |
Quadratic twists by: -3 5 |