Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bx |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.9777321815491E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-110806251,-448950544727] |
[a1,a2,a3,a4,a6] |
Generators |
[-48682:40363:8] |
Generators of the group modulo torsion |
j |
9629338734838127150244001/126574859619140625 |
j-invariant |
L |
11.982287316373 |
L(r)(E,1)/r! |
Ω |
0.046532762113235 |
Real period |
R |
8.0469428718768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000025725 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945l6 |
Quadratic twists by: 5 |