Cremona's table of elliptic curves

11440 = 2⁴ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2+ 5- 11- 13+	Signs for the Atkin-Lehner involutions
Class	11440g	Isogeny class
Conductor	11440	Conductor
∏ cp	21	Product of Tamagawa factors cp
deg	21504	Modular degree for the optimal curve
Δ	-8106663136000 = -1 · 28 · 53 · 117 · 13	Discriminant
Eigenvalues	2+ -2 5-  2 11- 13+ -1 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5585,209275]	[a1,a2,a3,a4,a6]
Generators	[-50:605:1]	Generators of the group modulo torsion
j	-75271580947456/31666652875	j-invariant
L	3.5816146908062	L(r)(E,1)/r!
Ω	0.69119742302057	Real period
R	0.24675016838062	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5720g1 45760bg1 102960v1 57200o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11440g1

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	-	2	-	+	-1	-1	-6	-2	10	-5	-11	11	5	0	0	8	-11	0	10	-10	2	4	1

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Quadratic twists for elliptic curve 11440g1

-4	8	-3	5	-11
5720g1	45760bg1	102960v1	57200o1	125840z1

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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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