Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186h |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.5407931131621E+20 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10067888,-12250434564] |
[a1,a2,a3,a4,a6] |
Generators |
[4887:232599:1] |
Generators of the group modulo torsion |
j |
63706354251539629617/256315933414772 |
j-invariant |
L |
2.6029163161712 |
L(r)(E,1)/r! |
Ω |
0.084775442850986 |
Real period |
R |
5.1172765536723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2926a4 |
Quadratic twists by: -11 |