Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
29784l |
Isogeny class |
Conductor |
29784 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
332252984484864 = 210 · 36 · 174 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22584,-975744] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:144:1] [-57:360:1] |
Generators of the group modulo torsion |
j |
1244072187067108/324465805161 |
j-invariant |
L |
7.9777628823723 |
L(r)(E,1)/r! |
Ω |
0.39697857505653 |
Real period |
R |
6.6987350482232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999971 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59568c2 89352j2 |
Quadratic twists by: -4 -3 |