Atkin-Lehner |
3- 5+ 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
84975k |
Isogeny class |
Conductor |
84975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4512969140625 = 32 · 58 · 112 · 1032 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4151,-12427] |
[a1,a2,a3,a4,a6] |
Generators |
[417018:4440869:2744] |
Generators of the group modulo torsion |
j |
506071034209/288830025 |
j-invariant |
L |
9.6770793889947 |
L(r)(E,1)/r! |
Ω |
0.64381428176186 |
Real period |
R |
7.5154277056321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008396 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16995c2 |
Quadratic twists by: 5 |