Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
52452a |
Isogeny class |
Conductor |
52452 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
18434761456896 = 28 · 313 · 312 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -3 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6816,65108] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:243:1] |
Generators of the group modulo torsion |
j |
187648442368/98780229 |
j-invariant |
L |
8.7142166110072 |
L(r)(E,1)/r! |
Ω |
0.60461722794801 |
Real period |
R |
1.8015978143262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17484a1 |
Quadratic twists by: -3 |