Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337g |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-4366785087 = -1 · 38 · 72 · 172 · 47 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1062,-13433] |
[a1,a2,a3,a4,a6] |
Generators |
[66:415:1] |
Generators of the group modulo torsion |
j |
-181802454625/5990103 |
j-invariant |
L |
5.785591921794 |
L(r)(E,1)/r! |
Ω |
0.41732852328728 |
Real period |
R |
3.4658498035138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779b1 |
Quadratic twists by: -3 |