Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552dp |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
112863972717232128 = 222 · 34 · 7 · 834 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120897,685503] |
[a1,a2,a3,a4,a6] |
Generators |
[5874:449445:1] |
Generators of the group modulo torsion |
j |
745476495651217/430541888112 |
j-invariant |
L |
10.335906476549 |
L(r)(E,1)/r! |
Ω |
0.28293880534897 |
Real period |
R |
4.5663171208806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552d3 27888x3 |
Quadratic twists by: -4 8 |