Atkin-Lehner |
3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345f |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
Δ |
2328398349579028125 = 320 · 55 · 74 · 89 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1543613,-734637337] |
[a1,a2,a3,a4,a6] |
Generators |
[-711:2245:1] |
Generators of the group modulo torsion |
j |
406760329114596496960201/2328398349579028125 |
j-invariant |
L |
6.6840354603025 |
L(r)(E,1)/r! |
Ω |
0.13549232201295 |
Real period |
R |
0.49331470307694 |
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 |
28035g4 46725f4 65415c4 |
Quadratic twists by: -3 5 -7 |