Atkin-Lehner |
2- 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bt |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
204056337888 = 25 · 312 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 -6 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4768,124448] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:260:1] [-28:500:1] |
Generators of the group modulo torsion |
j |
70933508361625/1207433952 |
j-invariant |
L |
15.552915476695 |
L(r)(E,1)/r! |
Ω |
1.0039655281756 |
Real period |
R |
0.25819139270406 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999381 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994o1 |
Quadratic twists by: 13 |