Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bx |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
4.1998601650452E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7116126,-6608471477] |
[a1,a2,a3,a4,a6] |
Generators |
[-1853:15626:1] |
Generators of the group modulo torsion |
j |
2550553784033771209681/268791050562890625 |
j-invariant |
L |
11.982287316373 |
L(r)(E,1)/r! |
Ω |
0.09306552422647 |
Real period |
R |
4.0234714359384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006431 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21945l3 |
Quadratic twists by: 5 |