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	6336b	Isogeny class
Conductor	6336	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	39957339045888 = 224 · 39 · 112	Discriminant
Eigenvalues	2+ 3+  0  2 11+ -2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-590220,-174529296]	[a1,a2,a3,a4,a6]
Generators	[117153123:7194315051:29791]	Generators of the group modulo torsion
j	4406910829875/7744	j-invariant
L	4.273397307491	L(r)(E,1)/r!
Ω	0.17224480016646	Real period
R	12.405011075403	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	6336bp4 198d4 6336g2 69696l4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336b4

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

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Quadratic twists for elliptic curve 6336b4

-4	8	-3	-11
6336bp4	198d4	6336g2	69696l4

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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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