Atkin-Lehner |
2- 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52632q |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1695317983488 = 28 · 36 · 173 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14223,-649870] |
[a1,a2,a3,a4,a6] |
j |
1705021456336/9084137 |
j-invariant |
L |
5.2477398925833 |
L(r)(E,1)/r! |
Ω |
0.43731165764329 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105264r1 5848a1 |
Quadratic twists by: -4 -3 |