Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72240ck |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
61755033231360 = 213 · 32 · 5 · 72 · 434 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376936,88947380] |
[a1,a2,a3,a4,a6] |
Generators |
[356:54:1] |
Generators of the group modulo torsion |
j |
1445998255520065129/15076912410 |
j-invariant |
L |
5.9195414715082 |
L(r)(E,1)/r! |
Ω |
0.56360172863821 |
Real period |
R |
2.6257644225238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9030d3 |
Quadratic twists by: -4 |