Atkin-Lehner |
5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
16775b |
Isogeny class |
Conductor |
16775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
-6343046875 = -1 · 57 · 113 · 61 |
Discriminant |
Eigenvalues |
0 2 5+ 4 11- 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-283,4343] |
[a1,a2,a3,a4,a6] |
Generators |
[57:412:1] |
Generators of the group modulo torsion |
j |
-160989184/405955 |
j-invariant |
L |
6.8355569214718 |
L(r)(E,1)/r! |
Ω |
1.1837088255397 |
Real period |
R |
0.96244909417863 |
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 |
3355a1 |
Quadratic twists by: 5 |