Atkin-Lehner |
2+ 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400bt |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1119744000000 = 215 · 37 · 56 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29100,1910000] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:1800:1] [-50:1800:1] |
Generators of the group modulo torsion |
j |
7301384/3 |
j-invariant |
L |
6.1135171821824 |
L(r)(E,1)/r! |
Ω |
0.85548427253571 |
Real period |
R |
0.44664155280586 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14400bq3 7200bq3 4800h3 576b3 |
Quadratic twists by: -4 8 -3 5 |