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
deg	1296	Modular degree for the optimal curve
Δ	-34031907 = -1 · 39 · 7 · 13 · 19	Discriminant
Eigenvalues	0 3-  0 7-  3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-343,2350]	[a1,a2,a3,a4,a6]
Generators	[10:4:1]	Generators of the group modulo torsion
j	-4475809792000/34031907	j-invariant
L	4.0043324000676	L(r)(E,1)/r!
Ω	2.0806568920554	Real period
R	1.9245520082419	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	82992bs1 15561n1 129675c1 36309b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5187l1

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 5187l1

-4	-3	5	-7	13	-19
82992bs1	15561n1	129675c1	36309b1	67431h1	98553k1

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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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