Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13566q |
Isogeny class |
Conductor |
13566 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-1884090142368 = -1 · 25 · 312 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-181824,29826720] |
[a1,a2,a3,a4,a6] |
Generators |
[228:372:1] |
Generators of the group modulo torsion |
j |
-664779294907165541377/1884090142368 |
j-invariant |
L |
7.4993531662701 |
L(r)(E,1)/r! |
Ω |
0.72421162951066 |
Real period |
R |
0.17258659533304 |
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 |
108528u1 40698j1 94962br1 |
Quadratic twists by: -4 -3 -7 |