Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550m |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-1361575936000000 = -1 · 225 · 56 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 3 -4 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18170,1499797] |
[a1,a2,a3,a4,a6] |
Generators |
[73:1755:1] |
Generators of the group modulo torsion |
j |
42461064302103/87140859904 |
j-invariant |
L |
7.0345813649016 |
L(r)(E,1)/r! |
Ω |
0.33292815081938 |
Real period |
R |
0.42258855837744 |
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 |
742c1 129850co1 |
Quadratic twists by: 5 -7 |