Atkin-Lehner |
3+ 7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
50589g |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-1002267950207139 = -1 · 39 · 78 · 112 · 73 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-81486,-9081727] |
[a1,a2,a3,a4,a6] |
Generators |
[633:13891:1] |
Generators of the group modulo torsion |
j |
-3040054843244544/50920487233 |
j-invariant |
L |
6.2599231680875 |
L(r)(E,1)/r! |
Ω |
0.14114545631996 |
Real period |
R |
1.3859645510638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50589e1 |
Quadratic twists by: -3 |