Cremona's table of elliptic curves

97344 = 2⁶ · 3² · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	97344fh	Isogeny class
Conductor	97344	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	8993571253714944 = 216 · 37 · 137	Discriminant
Eigenvalues	2- 3- -2  0  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5063916,-4386090800]	[a1,a2,a3,a4,a6]
Generators	[-155593805328:-2711337980:119823157]	Generators of the group modulo torsion
j	62275269892/39	j-invariant
L	5.4344269213077	L(r)(E,1)/r!
Ω	0.10064169621089	Real period
R	13.499441893707	Regulator
r	1	Rank of the group of rational points
S	1.0000000001795	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	97344by4 24336f4 32448da4 7488br3	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 97344fh4

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	0	0	+	-2	4	0	6	0	-2	6	-12	4	6	-8	2	-4	12	14	0	8	-18	6

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Quadratic twists for elliptic curve 97344fh4

-4	8	-3	13
97344by4	24336f4	32448da4	7488br3

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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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