Atkin-Lehner |
2+ 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584g |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7666129652097837312 = 28 · 320 · 76 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412235535,3221560202222] |
[a1,a2,a3,a4,a6] |
Generators |
[11422:56070:1] |
Generators of the group modulo torsion |
j |
41513800617145296098818000/41077940951313 |
j-invariant |
L |
7.6954498126702 |
L(r)(E,1)/r! |
Ω |
0.1473995397024 |
Real period |
R |
4.3506749446957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36792h2 24528b2 |
Quadratic twists by: -4 -3 |