Cremona's table of elliptic curves

984 = 2³ · 3 · 41

Field	Data	Notes
Atkin-Lehner	2+ 3+ 41-	Signs for the Atkin-Lehner involutions
Class	984b	Isogeny class
Conductor	984	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-283392 = -1 · 28 · 33 · 41	Discriminant
Eigenvalues	2+ 3+  2  4  5  0 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-577,-5147]	[a1,a2,a3,a4,a6]
j	-83131122688/1107	j-invariant
L	1.947926406917	L(r)(E,1)/r!
Ω	0.48698160172926	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	1968c1 7872p1 2952g1 24600bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 984b1

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	4	5	0	-3	-2	0	3	1	-11	-	9	3	-2	8	1	2	1	-11	-14	6	-2	6

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Quadratic twists for elliptic curve 984b1

-4	8	-3	5	-7	-11	41
1968c1	7872p1	2952g1	24600bg1	48216f1	119064q1	40344b1

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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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