Cremona's table of elliptic curves

5187 = 3 · 7 · 13 · 19

Field	Data	Notes
Atkin-Lehner	3- 7- 13- 19-	Signs for the Atkin-Lehner involutions
Class	5187l	Isogeny class
Conductor	5187	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-88093741493667 = -1 · 3 · 7 · 13 · 199	Discriminant
Eigenvalues	0 3-  0 7-  3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-9913,-593432]	[a1,a2,a3,a4,a6]
Generators	[4442:102881:8]	Generators of the group modulo torsion
j	-107741456072704000/88093741493667	j-invariant
L	4.0043324000676	L(r)(E,1)/r!
Ω	0.23118409911727	Real period
R	1.9245520082419	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	82992bs3 15561n3 129675c3 36309b3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5187l3

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	-	3	-	-6	-	-6	-3	-4	-7	9	-1	6	-3	0	-10	-13	6	11	8	-6	6	8

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Quadratic twists for elliptic curve 5187l3

-4	-3	5	-7	13	-19
82992bs3	15561n3	129675c3	36309b3	67431h3	98553k3

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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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