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	81	Product of Tamagawa factors cp
Δ	-139556074203 = -1 · 33 · 73 · 133 · 193	Discriminant
Eigenvalues	0 3-  0 7-  3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,1007,13447]	[a1,a2,a3,a4,a6]
Generators	[19:199:1]	Generators of the group modulo torsion
j	112818618368000/139556074203	j-invariant
L	4.0043324000676	L(r)(E,1)/r!
Ω	0.6935522973518	Real period
R	0.64151733608063	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	82992bs2 15561n2 129675c2 36309b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5187l2

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 5187l2

-4	-3	5	-7	13	-19
82992bs2	15561n2	129675c2	36309b2	67431h2	98553k2

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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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