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	5720d	Isogeny class
Conductor	5720	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	70400	Modular degree for the optimal curve
Δ	-29438576710400000 = -1 · 211 · 55 · 115 · 134	Discriminant
Eigenvalues	2-  1 5+ -5 11+ 13+ -3  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-759936,254864864]	[a1,a2,a3,a4,a6]
j	-23698747132646144258/14374305034375	j-invariant
L	0.73681676445306	L(r)(E,1)/r!
Ω	0.36840838222653	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11440c1 45760x1 51480x1 28600c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5720d1

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
-	1	+	-5	+	+	-3	3	-6	-1	1	1	-2	4	-6	-7	6	5	16	-13	-2	2	-6	5	0

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Quadratic twists for elliptic curve 5720d1

-4	8	-3	5	-11	13
11440c1	45760x1	51480x1	28600c1	62920h1	74360i1

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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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