Atkin-Lehner |
3- 5- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
73485n |
Isogeny class |
Conductor |
73485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1566720 |
Modular degree for the optimal curve |
Δ |
-3.8665325151715E+19 |
Discriminant |
Eigenvalues |
0 3- 5- -1 0 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-693462,-372702708] |
[a1,a2,a3,a4,a6] |
Generators |
[186893560:1707916181:175616] |
Generators of the group modulo torsion |
j |
-50589942664561721344/53038854803449395 |
j-invariant |
L |
4.0554409837529 |
L(r)(E,1)/r! |
Ω |
0.079406731165881 |
Real period |
R |
12.76793832123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24495e1 |
Quadratic twists by: -3 |