Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830bl |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-3615917690880 = -1 · 212 · 33 · 5 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1201193,507019241] |
[a1,a2,a3,a4,a6] |
Generators |
[543:3556:1] |
Generators of the group modulo torsion |
j |
-7099013253976488644787/133922877440 |
j-invariant |
L |
7.1658042165075 |
L(r)(E,1)/r! |
Ω |
0.5667648516021 |
Real period |
R |
1.5804182714074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16830l2 84150t1 |
Quadratic twists by: -3 5 |