Atkin-Lehner |
2- 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
73584m |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-24724224 = -1 · 28 · 33 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 -6 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,44] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] [10:42:1] |
Generators of the group modulo torsion |
j |
5971968/3577 |
j-invariant |
L |
9.6655391061998 |
L(r)(E,1)/r! |
Ω |
1.3009823173736 |
Real period |
R |
0.92867702515221 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18396d1 73584l1 |
Quadratic twists by: -4 -3 |