Atkin-Lehner |
2+ 3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992o |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
Δ |
5014293656343019776 = 28 · 322 · 7 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3269852,2272191180] |
[a1,a2,a3,a4,a6] |
Generators |
[9578:-69255:8] |
Generators of the group modulo torsion |
j |
15103171983977938107088/19587084595089921 |
j-invariant |
L |
8.8396848381554 |
L(r)(E,1)/r! |
Ω |
0.24221861382491 |
Real period |
R |
1.1058986483321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496h2 |
Quadratic twists by: -4 |