Cremona's table of elliptic curves

13944 = 2³ · 3 · 7 · 83

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 83+	Signs for the Atkin-Lehner involutions
Class	13944b	Isogeny class
Conductor	13944	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-888846336 = -1 · 211 · 32 · 7 · 832	Discriminant
Eigenvalues	2+ 3+ -2 7+ -6  6 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,216,684]	[a1,a2,a3,a4,a6]
Generators	[1:30:1]	Generators of the group modulo torsion
j	541680046/434007	j-invariant
L	2.8832795384918	L(r)(E,1)/r!
Ω	1.0161504418145	Real period
R	2.8374534122559	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	27888m2 111552bl2 41832x2 97608k2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 13944b2

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	+	-6	6	-4	4	-4	4	-4	2	12	-10	12	2	-8	-10	6	-8	4	16	+	6	12

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Quadratic twists for elliptic curve 13944b2

-4	8	-3	-7
27888m2	111552bl2	41832x2	97608k2

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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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