Cremona's table of elliptic curves

5720 = 2³ · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 11+ 13+	Signs for the Atkin-Lehner involutions
Class	5720g	Isogeny class
Conductor	5720	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	10752	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	[115:810:1]	Generators of the group modulo torsion
j	-75271580947456/31666652875	j-invariant
L	5.3774191939544	L(r)(E,1)/r!
Ω	0.27055966503209	Real period
R	3.3125282448122	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	11440g1 45760l1 51480k1 28600e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5720g1

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 5720g1

-4	8	-3	5	-11	13
11440g1	45760l1	51480k1	28600e1	62920n1	74360f1

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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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