Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400ej |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
41533440000000000 = 223 · 3 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138445633,-626953080863] |
[a1,a2,a3,a4,a6] |
j |
71647584155243142409/10140000 |
j-invariant |
L |
3.1689270030693 |
L(r)(E,1)/r! |
Ω |
0.044012875071596 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cp4 15600cl3 12480dg3 |
Quadratic twists by: -4 8 5 |