Atkin-Lehner |
2+ 3+ 5+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330b |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
107185628160 = 210 · 36 · 5 · 13 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1488,-16128] |
[a1,a2,a3,a4,a6] |
j |
364744258531849/107185628160 |
j-invariant |
L |
1.5719290369835 |
L(r)(E,1)/r! |
Ω |
0.78596451849176 |
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 |
54990bv1 91650de1 |
Quadratic twists by: -3 5 |