Atkin-Lehner |
2- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1472m |
Isogeny class |
Conductor |
1472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-12459008 = -1 · 210 · 233 |
Discriminant |
Eigenvalues |
2- 1 0 -2 0 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73,271] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:23:1] |
Generators of the group modulo torsion |
j |
-42592000/12167 |
j-invariant |
L |
3.0075058292683 |
L(r)(E,1)/r! |
Ω |
2.1346119285093 |
Real period |
R |
0.46964131030109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1472b2 368e2 13248bc2 36800cd2 |
Quadratic twists by: -4 8 -3 5 |