Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400k |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-25798901760000000 = -1 · 224 · 39 · 57 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -6 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110700,-16146000] |
[a1,a2,a3,a4,a6] |
Generators |
[1605:62775:1] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
3.9796165031122 |
L(r)(E,1)/r! |
Ω |
0.12964997782869 |
Real period |
R |
3.8368850594508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400cx3 450e3 14400j1 2880c3 |
Quadratic twists by: -4 8 -3 5 |