Cremona's table of elliptic curves

8987 = 11 · 19 · 43

Field	Data	Notes
Atkin-Lehner	11- 19+ 43+	Signs for the Atkin-Lehner involutions
Class	8987b	Isogeny class
Conductor	8987	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	5616	Modular degree for the optimal curve
Δ	-392561147 = -1 · 113 · 193 · 43	Discriminant
Eigenvalues	-2  1  2  0 11-  7  6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-342,-2732]	[a1,a2,a3,a4,a6]
j	-4436814573568/392561147	j-invariant
L	1.6565029565103	L(r)(E,1)/r!
Ω	0.5521676521701	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	80883g1 98857f1	Quadratic twists by: -3 -11

Hecke Eigenvalues for elliptic curve 8987b1

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
-2	1	2	0	-	7	6	+	5	0	-10	-9	5	+	7	4	12	11	6	8	-7	4	-6	17	-2

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Quadratic twists for elliptic curve 8987b1

-3	-11
80883g1	98857f1

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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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