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	5720c	Isogeny class
Conductor	5720	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1148548855168000 = -1 · 210 · 53 · 11 · 138	Discriminant
Eigenvalues	2+  0 5-  0 11- 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,19813,1227366]	[a1,a2,a3,a4,a6]
Generators	[-18:930:1]	Generators of the group modulo torsion
j	839990692886076/1121629741375	j-invariant
L	4.0432467644708	L(r)(E,1)/r!
Ω	0.32897855283744	Real period
R	4.0967683451275	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	11440e4 45760c3 51480bi3 28600q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5720c4

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
+	0	-	0	-	+	-2	4	-4	6	0	-2	-6	-4	-12	6	12	6	8	0	-10	-8	4	-6	2

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Quadratic twists for elliptic curve 5720c4

-4	8	-3	5	-11	13
11440e4	45760c3	51480bi3	28600q3	62920y3	74360l3

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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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