Atkin-Lehner |
2+ 3+ 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400j |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-40310784000000000 = -1 · 220 · 39 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,83700,-2538000] |
[a1,a2,a3,a4,a6] |
Generators |
[12180:1344600:1] |
Generators of the group modulo torsion |
j |
804357/500 |
j-invariant |
L |
4.5776088012964 |
L(r)(E,1)/r! |
Ω |
0.2092950443368 |
Real period |
R |
5.4678896194144 |
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 |
14400cy3 450f3 14400k1 2880g3 |
Quadratic twists by: -4 8 -3 5 |