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	5187i	Isogeny class
Conductor	5187	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	-1744168425363 = -1 · 35 · 76 · 132 · 192	Discriminant
Eigenvalues	-1 3- -2 7-  2 13+  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-469,-63700]	[a1,a2,a3,a4,a6]
Generators	[203:-2968:1]	Generators of the group modulo torsion
j	-11410380159697/1744168425363	j-invariant
L	2.6939503270587	L(r)(E,1)/r!
Ω	0.37284730065448	Real period
R	0.24084482864074	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	82992bl2 15561j2 129675d2 36309n2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5187i2

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

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Quadratic twists for elliptic curve 5187i2

-4	-3	5	-7	13	-19
82992bl2	15561j2	129675d2	36309n2	67431k2	98553p2

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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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