Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850dm |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
1.2909934522647E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 -7 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6716592,3875337216] |
[a1,a2,a3,a4,a6] |
Generators |
[-2816:22688:1] |
Generators of the group modulo torsion |
j |
73546685675688065425/28334561366578432 |
j-invariant |
L |
4.0620915190858 |
L(r)(E,1)/r! |
Ω |
0.11497912893541 |
Real period |
R |
1.9627192618309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995683 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6650bh2 59850et2 |
Quadratic twists by: -3 5 |