Atkin-Lehner |
3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
21417l |
Isogeny class |
Conductor |
21417 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6715649382849 = 32 · 118 · 592 |
Discriminant |
Eigenvalues |
-1 3- -2 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7444,-214081] |
[a1,a2,a3,a4,a6] |
Generators |
[398:7541:1] |
Generators of the group modulo torsion |
j |
25750777177/3790809 |
j-invariant |
L |
2.8819075403299 |
L(r)(E,1)/r! |
Ω |
0.51904066363597 |
Real period |
R |
5.5523733345701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64251x2 1947e2 |
Quadratic twists by: -3 -11 |