Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550di |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-8814456806400000000 = -1 · 216 · 310 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,510520,26171147] |
[a1,a2,a3,a4,a6] |
Generators |
[429:-18215:1] |
Generators of the group modulo torsion |
j |
1291859362462031/773834342400 |
j-invariant |
L |
9.1106226251139 |
L(r)(E,1)/r! |
Ω |
0.141778343547 |
Real period |
R |
1.0040565784279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850r1 10710n1 |
Quadratic twists by: -3 5 |