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	6336bd	Isogeny class
Conductor	6336	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1117159523352576 = -1 · 218 · 318 · 11	Discriminant
Eigenvalues	2+ 3- -2  4 11-  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,25044,-508880]	[a1,a2,a3,a4,a6]
Generators	[3156:177520:1]	Generators of the group modulo torsion
j	9090072503/5845851	j-invariant
L	4.1385573794273	L(r)(E,1)/r!
Ω	0.28012296903389	Real period
R	7.387036831897	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	6336cc4 99b4 2112l4 69696cw3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bd4

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

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Quadratic twists for elliptic curve 6336bd4

-4	8	-3	-11
6336cc4	99b4	2112l4	69696cw3

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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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