Cremona's table of elliptic curves

6336 = 2⁶ · 3² · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 11+	Signs for the Atkin-Lehner involutions
Class	6336cd	Isogeny class
Conductor	6336	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-8.9220942558481E+19	Discriminant
Eigenvalues	2- 3- -4  2 11+ -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-5791692,-5384048240]	[a1,a2,a3,a4,a6]
Generators	[574570:31896288:125]	Generators of the group modulo torsion
j	-112427521449300721/466873642818	j-invariant
L	3.1195014076754	L(r)(E,1)/r!
Ω	0.048647471136521	Real period
R	8.0155795738104	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	6336bg4 1584s4 2112bd4 69696hc4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336cd4

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
-	-	-4	2	+	-4	2	0	-6	10	8	2	-2	4	-2	4	0	8	-12	2	-6	-10	-4	-10	-2

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Quadratic twists for elliptic curve 6336cd4

-4	8	-3	-11
6336bg4	1584s4	2112bd4	69696hc4

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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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