Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720ct |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
191476224000000 = 215 · 39 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17388,579312] |
[a1,a2,a3,a4,a6] |
j |
901428696/296875 |
j-invariant |
L |
2.09047290982 |
L(r)(E,1)/r! |
Ω |
0.52261822744022 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cy2 27360u2 54720dc2 |
Quadratic twists by: -4 8 -3 |