Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32775bf |
Isogeny class |
Conductor |
32775 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-755950858113375 = -1 · 35 · 53 · 196 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-262903,-51923728] |
[a1,a2,a3,a4,a6] |
Generators |
[4966:36847:8] |
Generators of the group modulo torsion |
j |
-16076830317572843909/6047606864907 |
j-invariant |
L |
4.7611360168607 |
L(r)(E,1)/r! |
Ω |
0.10541705156968 |
Real period |
R |
4.5164761734149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98325cg1 32775m1 |
Quadratic twists by: -3 5 |