Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830ct |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-7415971200000 = -1 · 210 · 36 · 55 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4813,24211] |
[a1,a2,a3,a4,a6] |
Generators |
[31:434:1] |
Generators of the group modulo torsion |
j |
16917195186711/10172800000 |
j-invariant |
L |
7.9422350884291 |
L(r)(E,1)/r! |
Ω |
0.4554591207361 |
Real period |
R |
0.34875731879485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1870a1 84150co1 |
Quadratic twists by: -3 5 |