Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45150dg |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-359040890880000 = -1 · 214 · 32 · 54 · 72 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6188,930192] |
[a1,a2,a3,a4,a6] |
Generators |
[148:-1880:1] |
Generators of the group modulo torsion |
j |
-41927502771025/574465425408 |
j-invariant |
L |
11.226921554826 |
L(r)(E,1)/r! |
Ω |
0.4556684405867 |
Real period |
R |
0.14665688484106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150n1 |
Quadratic twists by: 5 |