Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560k |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-14368590000 = -1 · 24 · 39 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,432,-4617] |
[a1,a2,a3,a4,a6] |
Generators |
[8637944:-64675675:175616] |
Generators of the group modulo torsion |
j |
28311552/45625 |
j-invariant |
L |
6.9685190741857 |
L(r)(E,1)/r! |
Ω |
0.6593807219618 |
Real period |
R |
10.568278449873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13140a1 52560m1 |
Quadratic twists by: -4 -3 |