Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830bx |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-4829842096200000 = -1 · 26 · 317 · 55 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6997,3334331] |
[a1,a2,a3,a4,a6] |
Generators |
[93:2140:1] |
Generators of the group modulo torsion |
j |
51974460932759/6625297800000 |
j-invariant |
L |
6.9556846377043 |
L(r)(E,1)/r! |
Ω |
0.33297275581112 |
Real period |
R |
0.87040212203452 |
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 |
5610u1 84150bo1 |
Quadratic twists by: -3 5 |