Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bv |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2042413056000000 = 220 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228972,-42115664] |
[a1,a2,a3,a4,a6] |
Generators |
[-283:135:1] |
Generators of the group modulo torsion |
j |
6947097508441/10687500 |
j-invariant |
L |
6.0883418901784 |
L(r)(E,1)/r! |
Ω |
0.21827001928398 |
Real period |
R |
2.3244686825865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ex2 1710p2 18240bc2 |
Quadratic twists by: -4 8 -3 |