Atkin-Lehner |
2+ 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
67536z |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
87526656 = 28 · 36 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -4 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-2] |
[a1,a2,a3,a4,a6] |
j |
810448/469 |
j-invariant |
L |
3.2293673206629 |
L(r)(E,1)/r! |
Ω |
1.614683659529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33768d1 7504m1 |
Quadratic twists by: -4 -3 |