Atkin-Lehner |
2- 3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
97290bp |
Isogeny class |
Conductor |
97290 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
8.9396708342223E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18107222,29657943821] |
[a1,a2,a3,a4,a6] |
Generators |
[10311:963919:1] |
Generators of the group modulo torsion |
j |
900640847401367459073049/122629229550375000 |
j-invariant |
L |
12.041004742591 |
L(r)(E,1)/r! |
Ω |
0.18415109485025 |
Real period |
R |
5.4488791493201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008258 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
32430j4 |
Quadratic twists by: -3 |