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	4	Product of Tamagawa factors cp
Δ	-740389167 = -1 · 38 · 74 · 47	Discriminant
Eigenvalues	-1 3+  2 7+  0  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,168,-936]	[a1,a2,a3,a4,a6]
j	524191506047/740389167	j-invariant
L	0.85062488593185	L(r)(E,1)/r!
Ω	0.85062488593185	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15792bf4 63168bf3 2961d4 24675p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 987b4

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 987b4

-4	8	-3	5	-7	-11	-47
15792bf4	63168bf3	2961d4	24675p3	6909j4	119427a3	46389b3

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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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