Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
47396d |
Isogeny class |
Conductor |
47396 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
269182169488 = 24 · 177 · 41 |
Discriminant |
Eigenvalues |
2- 1 2 3 4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4142,98153] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-289:1] |
Generators of the group modulo torsion |
j |
20353792/697 |
j-invariant |
L |
9.2556908660398 |
L(r)(E,1)/r! |
Ω |
0.97341096787713 |
Real period |
R |
0.79237608535751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2788a1 |
Quadratic twists by: 17 |