Atkin-Lehner |
2- 7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842s |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
344290428600458032 = 24 · 710 · 116 · 43 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401622,93910325] |
[a1,a2,a3,a4,a6] |
Generators |
[-469:13611:1] [-3178:112045:8] |
Generators of the group modulo torsion |
j |
4044073786633161/194342971312 |
j-invariant |
L |
12.054196101049 |
L(r)(E,1)/r! |
Ω |
0.29989299291291 |
Real period |
R |
2.0097495416421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
602a2 |
Quadratic twists by: -11 |