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	4	Product of Tamagawa factors cp
Δ	15054336 = 29 · 35 · 112	Discriminant
Eigenvalues	2- 3+  2 -4 11- -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-313632,-67500540]	[a1,a2,a3,a4,a6]
Generators	[653979:101750770:27]	Generators of the group modulo torsion
j	6663712298552914184/29403	j-invariant
L	2.2406409130268	L(r)(E,1)/r!
Ω	0.20174108276706	Real period
R	11.106517732008	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1056d3 2112n3 3168i3 26400x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1056g2

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

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Quadratic twists for elliptic curve 1056g2

-4	8	-3	5	-7	-11
1056d3	2112n3	3168i3	26400x4	51744cq4	11616d3

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

Part of Computational Number Theory
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