Cremona's table of elliptic curves

92736 = 2⁶ · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 23+	Signs for the Atkin-Lehner involutions
Class	92736ds	Isogeny class
Conductor	92736	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1.7930747109118E+24	Discriminant
Eigenvalues	2- 3-  0 7+ -3 -2  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5328480,64599142624]	[a1,a2,a3,a4,a6]
Generators	[4542210191672:872984846035395:3567549952]	Generators of the group modulo torsion
j	-1400832679220224000/150124273180279587	j-invariant
L	5.7562459816506	L(r)(E,1)/r!
Ω	0.068690595546673	Real period
R	20.94990564516	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	92736ci2 23184bg2 30912bz2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 92736ds2

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
-	-	0	+	-3	-2	0	5	+	6	10	-2	-3	-4	3	3	-9	1	8	-12	8	-14	-6	6	-10

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Quadratic twists for elliptic curve 92736ds2

-4	8	-3
92736ci2	23184bg2	30912bz2

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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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