Atkin-Lehner |
2- 3- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bd |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
805532876341248 = 216 · 3 · 114 · 234 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25432,748052] |
[a1,a2,a3,a4,a6] |
Generators |
[131236:2355870:343] |
Generators of the group modulo torsion |
j |
444142553850073/196663299888 |
j-invariant |
L |
6.2182219505502 |
L(r)(E,1)/r! |
Ω |
0.45215871724985 |
Real period |
R |
6.8761495834595 |
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 |
1518f4 48576cq3 36432cs3 |
Quadratic twists by: -4 8 -3 |