Atkin-Lehner |
2- 3- 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330ba |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
236872174500 = 22 · 33 · 53 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7300046,-7592264160] |
[a1,a2,a3,a4,a6] |
j |
43022981733249851446415329/236872174500 |
j-invariant |
L |
2.4798871563412 |
L(r)(E,1)/r! |
Ω |
0.091847672457082 |
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 |
54990y3 91650i3 |
Quadratic twists by: -3 5 |