Atkin-Lehner |
2+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44954c |
Isogeny class |
Conductor |
44954 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1596706405849382464 = -1 · 26 · 73 · 139 · 193 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 3 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,48668,-60650718] |
[a1,a2,a3,a4,a6] |
Generators |
[27795:873677:27] |
Generators of the group modulo torsion |
j |
2641234272767/330799583296 |
j-invariant |
L |
3.8783025768023 |
L(r)(E,1)/r! |
Ω |
0.12643670054009 |
Real period |
R |
3.8342334150512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458f2 |
Quadratic twists by: 13 |