Atkin-Lehner |
2- 3+ 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
82416g |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-717348864 = -1 · 213 · 3 · 172 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 0 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,224,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[24:136:1] |
Generators of the group modulo torsion |
j |
302111711/175134 |
j-invariant |
L |
3.9258918303866 |
L(r)(E,1)/r! |
Ω |
0.95350582834679 |
Real period |
R |
0.51466542116346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10302f1 |
Quadratic twists by: -4 |