Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bo |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14889191178240 = 215 · 314 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37452,-2783536] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:72:1] |
Generators of the group modulo torsion |
j |
243204324488/623295 |
j-invariant |
L |
7.259461884101 |
L(r)(E,1)/r! |
Ω |
0.34323984040834 |
Real period |
R |
1.321863939862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999693 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cd4 27360x4 18240b3 |
Quadratic twists by: -4 8 -3 |