Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75504bh |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.8958320985076E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11- 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7231968,-9993629952] |
[a1,a2,a3,a4,a6] |
Generators |
[85904850:5330870622:15625] |
Generators of the group modulo torsion |
j |
-5764706497797625/2612665516032 |
j-invariant |
L |
3.5582488355466 |
L(r)(E,1)/r! |
Ω |
0.045045894988776 |
Real period |
R |
9.873954204008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438z3 6864q3 |
Quadratic twists by: -4 -11 |