Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510ds |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
288924620118750000 = 24 · 36 · 58 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-373757,84154389] |
[a1,a2,a3,a4,a6] |
Generators |
[597:-8874:1] |
Generators of the group modulo torsion |
j |
67324767141241/3368750000 |
j-invariant |
L |
10.270605358533 |
L(r)(E,1)/r! |
Ω |
0.30407768223109 |
Real period |
R |
0.52775398559267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5390j2 6930w2 |
Quadratic twists by: -3 -7 |