Atkin-Lehner |
2- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1472i |
Isogeny class |
Conductor |
1472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4437573632 = 223 · 232 |
Discriminant |
Eigenvalues |
2- 0 -4 4 2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10892,437520] |
[a1,a2,a3,a4,a6] |
j |
545138290809/16928 |
j-invariant |
L |
1.2858112911906 |
L(r)(E,1)/r! |
Ω |
1.2858112911906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1472d2 368b2 13248br2 36800cq2 |
Quadratic twists by: -4 8 -3 5 |