Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450x |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-60335112500000 = -1 · 25 · 58 · 136 |
Discriminant |
Eigenvalues |
2- 1 5- -2 3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12763,668017] |
[a1,a2,a3,a4,a6] |
Generators |
[66:305:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
7.042458782097 |
L(r)(E,1)/r! |
Ω |
0.59338913270886 |
Real period |
R |
1.1868196422721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600da3 76050cr3 8450d1 50a3 |
Quadratic twists by: -4 -3 5 13 |