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	32	Product of Tamagawa factors cp
Δ	213357396307968 = 212 · 35 · 118	Discriminant
Eigenvalues	2- 3+  2 -4 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-20817,-911007]	[a1,a2,a3,a4,a6]
Generators	[-112:55:1]	Generators of the group modulo torsion
j	243578556889408/52089208083	j-invariant
L	2.2406409130268	L(r)(E,1)/r!
Ω	0.40348216553412	Real period
R	2.7766294330019	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	1056d2 2112n1 3168i2 26400x3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1056g3

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 1056g3

-4	8	-3	5	-7	-11
1056d2	2112n1	3168i2	26400x3	51744cq3	11616d2

---

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