Atkin-Lehner |
2+ 3+ 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330c |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
109630587057998760 = 23 · 32 · 5 · 1310 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-448047,114142941] |
[a1,a2,a3,a4,a6] |
j |
9947087721584775986041/109630587057998760 |
j-invariant |
L |
0.67049439945582 |
L(r)(E,1)/r! |
Ω |
0.33524719972791 |
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 |
54990bh2 91650dl2 |
Quadratic twists by: -3 5 |