Cremona's table of elliptic curves

987 = 3 · 7 · 47

Field	Data	Notes
Atkin-Lehner	3+ 7+ 47-	Signs for the Atkin-Lehner involutions
Class	987b	Isogeny class
Conductor	987	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	8767521 = 34 · 72 · 472	Discriminant
Eigenvalues	-1 3+  2 7+  0  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-67,-184]	[a1,a2,a3,a4,a6]
j	33293019313/8767521	j-invariant
L	0.85062488593185	L(r)(E,1)/r!
Ω	1.7012497718637	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	15792bf2 63168bf2 2961d2 24675p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 987b2

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	+	0	2	2	-4	-4	6	0	6	6	8	-	-10	-4	6	8	16	14	0	-12	2	18

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Quadratic twists for elliptic curve 987b2

-4	8	-3	5	-7	-11	-47
15792bf2	63168bf2	2961d2	24675p2	6909j2	119427a2	46389b2

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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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