Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16830z |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-6432526172160 = -1 · 220 · 38 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1494,-123660] |
[a1,a2,a3,a4,a6] |
Generators |
[285:4605:1] |
Generators of the group modulo torsion |
j |
-506071034209/8823767040 |
j-invariant |
L |
3.017349151815 |
L(r)(E,1)/r! |
Ω |
0.32334988401901 |
Real period |
R |
4.6657650132907 |
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 |
5610bj1 84150fi1 |
Quadratic twists by: -3 5 |