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	984a	Isogeny class
Conductor	984	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-1652742144 = -1 · 211 · 39 · 41	Discriminant
Eigenvalues	2+ 3+ -1 -2  2 -3 -3  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,184,1644]	[a1,a2,a3,a4,a6]
j	334568302/807003	j-invariant
L	1.0445702608283	L(r)(E,1)/r!
Ω	1.0445702608283	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	1968b1 7872n1 2952e1 24600bf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 984a1

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	2	-3	-3	7	6	0	7	10	-	-12	12	10	11	10	-7	1	1	4	15	1	-18

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Quadratic twists for elliptic curve 984a1

-4	8	-3	5	-7	-11	41
1968b1	7872n1	2952e1	24600bf1	48216e1	119064o1	40344a1

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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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