Atkin-Lehner |
3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45951d |
Isogeny class |
Conductor |
45951 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
139264 |
Modular degree for the optimal curve |
Δ |
-999340035240219 = -1 · 3 · 179 · 532 |
Discriminant |
Eigenvalues |
0 3+ -1 0 -1 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-62231,-6145117] |
[a1,a2,a3,a4,a6] |
Generators |
[1081:34476:1] [22756:260357:64] |
Generators of the group modulo torsion |
j |
-224755712/8427 |
j-invariant |
L |
6.3490579150746 |
L(r)(E,1)/r! |
Ω |
0.15080393342344 |
Real period |
R |
10.525351976807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45951h1 |
Quadratic twists by: 17 |