Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600q |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34273200000000 = 210 · 3 · 58 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41408,3217188] |
[a1,a2,a3,a4,a6] |
j |
490757540836/2142075 |
j-invariant |
L |
1.3148017908903 |
L(r)(E,1)/r! |
Ω |
0.65740089544517 |
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 |
7800m3 62400fg4 46800y4 3120c3 |
Quadratic twists by: -4 8 -3 5 |