Atkin-Lehner |
2- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450ba |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-3115420000000 = -1 · 28 · 57 · 72 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15838,-778469] |
[a1,a2,a3,a4,a6] |
Generators |
[649:15887:1] |
Generators of the group modulo torsion |
j |
-28119423707929/199386880 |
j-invariant |
L |
14.666315466342 |
L(r)(E,1)/r! |
Ω |
0.21269652167586 |
Real period |
R |
4.3096366100222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090a1 |
Quadratic twists by: 5 |