Atkin-Lehner |
2- 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5814s |
Isogeny class |
Conductor |
5814 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
196752457728 = 214 · 37 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2705,50433] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:276:1] |
Generators of the group modulo torsion |
j |
3001563015625/269893632 |
j-invariant |
L |
5.7863484980621 |
L(r)(E,1)/r! |
Ω |
0.97974023788567 |
Real period |
R |
0.42185733628372 |
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 |
46512z1 1938c1 98838bk1 110466p1 |
Quadratic twists by: -4 -3 17 -19 |