Atkin-Lehner |
2- 3+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
21726s |
Isogeny class |
Conductor |
21726 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3008 |
Modular degree for the optimal curve |
Δ |
65178 = 2 · 33 · 17 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 1 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74,-225] |
[a1,a2,a3,a4,a6] |
j |
1638858339/2414 |
j-invariant |
L |
3.2592637989867 |
L(r)(E,1)/r! |
Ω |
1.6296318994934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21726a1 |
Quadratic twists by: -3 |