Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536v |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
17155224576 = 210 · 36 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 2 -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1251,-15822] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:28:1] |
Generators of the group modulo torsion |
j |
290046852/22981 |
j-invariant |
L |
8.057311986716 |
L(r)(E,1)/r! |
Ω |
0.80679269719135 |
Real period |
R |
0.83223691514761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33768q1 7504l1 |
Quadratic twists by: -4 -3 |