Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
3528z |
Isogeny class |
Conductor |
3528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-246903552 = -1 · 28 · 39 · 72 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 3 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-812] |
[a1,a2,a3,a4,a6] |
j |
-7168/27 |
j-invariant |
L |
2.8860697307248 |
L(r)(E,1)/r! |
Ω |
0.72151743268121 |
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 |
7056y1 28224cn1 1176f1 88200db1 |
Quadratic twists by: -4 8 -3 5 |