Atkin-Lehner |
3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
104025a |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1969462219640625 = 314 · 56 · 192 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31375,-143000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1668312:62896744:103823] |
Generators of the group modulo torsion |
j |
218613268577521/126045582057 |
j-invariant |
L |
8.9392965395356 |
L(r)(E,1)/r! |
Ω |
0.39096569074327 |
Real period |
R |
11.432328651184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161e2 |
Quadratic twists by: 5 |