Atkin-Lehner |
3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44835k |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2639997484260351075 = -1 · 33 · 52 · 710 · 614 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9727,-78178484] |
[a1,a2,a3,a4,a6] |
Generators |
[600511026:-10801328873:1061208] |
Generators of the group modulo torsion |
j |
-865250742889/22439608362675 |
j-invariant |
L |
7.1091040628613 |
L(r)(E,1)/r! |
Ω |
0.11680997469061 |
Real period |
R |
15.215104878014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6405j4 |
Quadratic twists by: -7 |