Atkin-Lehner |
2- 7+ 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
100016k |
Isogeny class |
Conductor |
100016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3431097687808 = 28 · 75 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 0 0 7+ 2 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-89935,10380666] |
[a1,a2,a3,a4,a6] |
Generators |
[567234:9319301:5832] |
Generators of the group modulo torsion |
j |
314246148685362000/13402725343 |
j-invariant |
L |
6.5528977353255 |
L(r)(E,1)/r! |
Ω |
0.7446042414572 |
Real period |
R |
8.8005108808679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25004a2 |
Quadratic twists by: -4 |