Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
14400cn |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1889568000000000 = -1 · 214 · 310 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10500,-2050000] |
[a1,a2,a3,a4,a6] |
Generators |
[106:504:1] |
Generators of the group modulo torsion |
j |
5488/81 |
j-invariant |
L |
5.2139992679892 |
L(r)(E,1)/r! |
Ω |
0.22905868656007 |
Real period |
R |
2.8453402850004 |
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 |
14400fj2 900g2 4800o2 14400co2 |
Quadratic twists by: -4 8 -3 5 |