Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400z |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
377913600000000 = 214 · 310 · 58 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18300,-182000] |
[a1,a2,a3,a4,a6] |
j |
3631696/2025 |
j-invariant |
L |
1.7621257046433 |
L(r)(E,1)/r! |
Ω |
0.44053142616084 |
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 |
14400dq2 1800r2 4800r2 2880s2 |
Quadratic twists by: -4 8 -3 5 |