Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16830ch |
Isogeny class |
Conductor |
16830 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
729019632844800 = 222 · 37 · 52 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-104603,12982731] |
[a1,a2,a3,a4,a6] |
Generators |
[35:3042:1] |
Generators of the group modulo torsion |
j |
173629978755828841/1000026931200 |
j-invariant |
L |
7.4522329235294 |
L(r)(E,1)/r! |
Ω |
0.50973523981334 |
Real period |
R |
0.16613421718914 |
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 |
5610g1 84150cj1 |
Quadratic twists by: -3 5 |