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	6336m	Isogeny class
Conductor	6336	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	351187550208 = 214 · 311 · 112	Discriminant
Eigenvalues	2+ 3-  2  2 11+ -6  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-46524,-3862352]	[a1,a2,a3,a4,a6]
j	932410994128/29403	j-invariant
L	2.6005852898068	L(r)(E,1)/r!
Ω	0.32507316122586	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6336ch2 396a2 2112q2 69696cj2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336m2

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	2	+	-6	4	2	8	0	0	6	0	-10	0	14	-12	14	-4	0	6	2	16	14	-2

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Quadratic twists for elliptic curve 6336m2

-4	8	-3	-11
6336ch2	396a2	2112q2	69696cj2

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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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