Atkin-Lehner |
3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
9555q |
Isogeny class |
Conductor |
9555 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2187523839574280025 = 312 · 52 · 78 · 134 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-445901,89800080] |
[a1,a2,a3,a4,a6] |
Generators |
[-617:11716:1] |
Generators of the group modulo torsion |
j |
83339496416030401/18593645841225 |
j-invariant |
L |
3.2755389909555 |
L(r)(E,1)/r! |
Ω |
0.24530319181393 |
Real period |
R |
1.1127518584702 |
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 |
28665bp3 47775p3 1365b3 124215cw3 |
Quadratic twists by: -3 5 -7 13 |