Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18720d |
Isogeny class |
Conductor |
18720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11681280 = 29 · 33 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-666] |
[a1,a2,a3,a4,a6] |
j |
25412184/845 |
j-invariant |
L |
2.7478025197417 |
L(r)(E,1)/r! |
Ω |
1.3739012598709 |
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 |
18720z2 37440m2 18720x2 93600cx2 |
Quadratic twists by: -4 8 -3 5 |