Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1155m |
Isogeny class |
Conductor |
1155 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-231139696095 = -1 · 36 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,35,-23128] |
[a1,a2,a3,a4,a6] |
j |
4733169839/231139696095 |
j-invariant |
L |
1.3709901109688 |
L(r)(E,1)/r! |
Ω |
0.45699670365625 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480cd1 73920n1 3465i1 5775c1 |
Quadratic twists by: -4 8 -3 5 |