Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330x |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
308427310546875000 = 23 · 32 · 512 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4417086,-3573423540] |
[a1,a2,a3,a4,a6] |
j |
9530842291028499476606689/308427310546875000 |
j-invariant |
L |
5.6235452429778 |
L(r)(E,1)/r! |
Ω |
0.10413972672181 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54990t4 91650f4 |
Quadratic twists by: -3 5 |