Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450n |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
54433153024000 = 222 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 -3 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15486,649968] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:1037:1] |
Generators of the group modulo torsion |
j |
31644451747/4194304 |
j-invariant |
L |
5.6237341441186 |
L(r)(E,1)/r! |
Ω |
0.60605767740711 |
Real period |
R |
1.1599007737779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999862906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110450bm1 110450m1 |
Quadratic twists by: 5 -47 |