Cremona's table of elliptic curves

1056 = 2⁵ · 3 · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 11-	Signs for the Atkin-Lehner involutions
Class	1056g	Isogeny class
Conductor	1056	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	55330330176 = 26 · 310 · 114	Discriminant
Eigenvalues	2- 3+  2 -4 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-19602,-1049760]	[a1,a2,a3,a4,a6]
Generators	[24219:3768930:1]	Generators of the group modulo torsion
j	13015685560572352/864536409	j-invariant
L	2.2406409130268	L(r)(E,1)/r!
Ω	0.40348216553412	Real period
R	5.5532588660039	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	1056d1 2112n2 3168i1 26400x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1056g1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	2	-4	-	-2	2	-4	0	-6	-4	-2	-6	4	8	-6	-12	-10	-4	0	10	-12	-12	10	18

---

Quadratic twists for elliptic curve 1056g1

-4	8	-3	5	-7	-11
1056d1	2112n2	3168i1	26400x1	51744cq1	11616d1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations