Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337k |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
166400 |
Modular degree for the optimal curve |
Δ |
-8889661335051 = -1 · 37 · 72 · 17 · 474 |
Discriminant |
Eigenvalues |
-2 3- 1 7+ 5 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13467,618394] |
[a1,a2,a3,a4,a6] |
Generators |
[74:164:1] |
Generators of the group modulo torsion |
j |
-370517533364224/12194322819 |
j-invariant |
L |
3.5517345933902 |
L(r)(E,1)/r! |
Ω |
0.72831708641347 |
Real period |
R |
0.30478951575779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16779d1 |
Quadratic twists by: -3 |