Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528j |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
30658754762496 = 28 · 314 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-132812,18672060] |
[a1,a2,a3,a4,a6] |
Generators |
[14820:33915:64] |
Generators of the group modulo torsion |
j |
1012043003911031248/119760760791 |
j-invariant |
L |
5.679125389306 |
L(r)(E,1)/r! |
Ω |
0.63484017235675 |
Real period |
R |
5.9638374471726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6132e2 98112cc2 73584bd2 |
Quadratic twists by: -4 8 -3 |