Atkin-Lehner |
2- 3- 5+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128340k |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1340033923455840000 = 28 · 312 · 54 · 232 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1476543,-688335658] |
[a1,a2,a3,a4,a6] |
Generators |
[95378:10357875:8] |
Generators of the group modulo torsion |
j |
1907631633810651856/7180394394375 |
j-invariant |
L |
6.8784614824016 |
L(r)(E,1)/r! |
Ω |
0.13698920536399 |
Real period |
R |
4.1843087432122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998918925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42780f2 |
Quadratic twists by: -3 |