Atkin-Lehner |
2- 3+ 19- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576t |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1259034181632 = 216 · 36 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18144,-933120] |
[a1,a2,a3,a4,a6] |
Generators |
[162:594:1] |
Generators of the group modulo torsion |
j |
161282338400737/307381392 |
j-invariant |
L |
5.1624142774341 |
L(r)(E,1)/r! |
Ω |
0.41139974956989 |
Real period |
R |
3.1371034395071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997711 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322h1 |
Quadratic twists by: -4 |