Atkin-Lehner |
2+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1472b |
Isogeny class |
Conductor |
1472 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64 |
Modular degree for the optimal curve |
Δ |
-23552 = -1 · 210 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7,1] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1:1] |
Generators of the group modulo torsion |
j |
32000/23 |
j-invariant |
L |
2.4407645388291 |
L(r)(E,1)/r! |
Ω |
2.41151161683 |
Real period |
R |
1.0121305333115 |
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 |
1472m1 92a1 13248n1 36800u1 |
Quadratic twists by: -4 8 -3 5 |