Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520n |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
82493357616000000 = 210 · 32 · 56 · 174 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-110200,2740000] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:-2850:1] |
Generators of the group modulo torsion |
j |
144534818024287204/80559919546875 |
j-invariant |
L |
5.866689567667 |
L(r)(E,1)/r! |
Ω |
0.2959615817707 |
Real period |
R |
0.55062416614541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760l2 |
Quadratic twists by: -4 |