Atkin-Lehner |
2- 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
21726v |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
21117672 = 23 · 37 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -1 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-77,-115] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:10:1] |
Generators of the group modulo torsion |
j |
68417929/28968 |
j-invariant |
L |
5.9945051768989 |
L(r)(E,1)/r! |
Ω |
1.6756699460426 |
Real period |
R |
0.59622970413079 |
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 |
7242g1 |
Quadratic twists by: -3 |