Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
53280y |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1864373760000 = 212 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4428,-92448] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:27:1] |
Generators of the group modulo torsion |
j |
119095488/23125 |
j-invariant |
L |
2.8743833405115 |
L(r)(E,1)/r! |
Ω |
0.59316768352223 |
Real period |
R |
2.4229095923305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280c2 106560r1 53280h2 |
Quadratic twists by: -4 8 -3 |