Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
12480u |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3987210240000 = 222 · 32 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4161,36639] |
[a1,a2,a3,a4,a6] |
j |
30400540561/15210000 |
j-invariant |
L |
1.3858073744606 |
L(r)(E,1)/r! |
Ω |
0.6929036872303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480bl2 390b2 37440cb2 62400z2 |
Quadratic twists by: -4 8 -3 5 |