Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950ds |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-9129944678400000000 = -1 · 224 · 37 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83255,-145648753] |
[a1,a2,a3,a4,a6] |
Generators |
[739:13630:1] |
Generators of the group modulo torsion |
j |
-5602762882081/801531494400 |
j-invariant |
L |
8.7136629099812 |
L(r)(E,1)/r! |
Ω |
0.10264121303885 |
Real period |
R |
0.88431653613252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13650z1 8190n1 |
Quadratic twists by: -3 5 |