Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bn |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.232317334333E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13227852,-17730525904] |
[a1,a2,a3,a4,a6] |
Generators |
[-18494:177905:8] |
Generators of the group modulo torsion |
j |
10715544157908977288/515875727370375 |
j-invariant |
L |
7.6069605316408 |
L(r)(E,1)/r! |
Ω |
0.079400235925422 |
Real period |
R |
7.9837719655482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ca3 27360j3 18240a4 |
Quadratic twists by: -4 8 -3 |