Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83810y |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-1.3563606962221E+21 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1167554,1704190276] |
[a1,a2,a3,a4,a6] |
Generators |
[564:50138:1] |
Generators of the group modulo torsion |
j |
87310284479/672800000 |
j-invariant |
L |
11.269359332855 |
L(r)(E,1)/r! |
Ω |
0.11103953140156 |
Real period |
R |
6.3431009568148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810bk1 |
Quadratic twists by: 17 |