Atkin-Lehner |
2- 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18408i |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1317466156032 = 210 · 37 · 132 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-46400,-3831204] |
[a1,a2,a3,a4,a6] |
j |
10789145673350404/1286588043 |
j-invariant |
L |
0.65058250863513 |
L(r)(E,1)/r! |
Ω |
0.32529125431757 |
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 |
36816g2 55224h2 |
Quadratic twists by: -4 -3 |