Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
16590bb |
Isogeny class |
Conductor |
16590 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1252503060480 = -1 · 224 · 33 · 5 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,190,-53820] |
[a1,a2,a3,a4,a6] |
Generators |
[52:286:1] |
Generators of the group modulo torsion |
j |
758301032159/1252503060480 |
j-invariant |
L |
9.5650536733862 |
L(r)(E,1)/r! |
Ω |
0.40062051332494 |
Real period |
R |
1.3264220205136 |
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 |
49770p1 82950b1 116130bx1 |
Quadratic twists by: -3 5 -7 |