Atkin-Lehner |
2+ 3+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
3600j |
Isogeny class |
Conductor |
3600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
54000000000 = 210 · 33 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7875,-268750] |
[a1,a2,a3,a4,a6] |
j |
1000188 |
j-invariant |
L |
1.0136615634514 |
L(r)(E,1)/r! |
Ω |
0.5068307817257 |
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 |
1800d2 14400dk2 3600i2 3600h2 |
Quadratic twists by: -4 8 -3 5 |