Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4512p |
Isogeny class |
Conductor |
4512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10179072 = 29 · 32 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80,204] |
[a1,a2,a3,a4,a6] |
Generators |
[7:6:1] |
Generators of the group modulo torsion |
j |
111980168/19881 |
j-invariant |
L |
3.4114525606323 |
L(r)(E,1)/r! |
Ω |
2.1800234518967 |
Real period |
R |
1.5648696612251 |
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 |
4512k2 9024bg2 13536q2 112800h2 |
Quadratic twists by: -4 8 -3 5 |