Atkin-Lehner |
2+ 3- 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50184k |
Isogeny class |
Conductor |
50184 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
13666207248 = 24 · 36 · 17 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,-50569] |
[a1,a2,a3,a4,a6] |
Generators |
[107:947:1] |
Generators of the group modulo torsion |
j |
165686944000/1171657 |
j-invariant |
L |
6.1148428282336 |
L(r)(E,1)/r! |
Ω |
0.66919133925298 |
Real period |
R |
4.5688299216987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100368t1 5576h1 |
Quadratic twists by: -4 -3 |