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	50155641372672 = 220 · 33 · 116	Discriminant
Eigenvalues	2+ 3+  0  2 11+ -2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-9420,-87952]	[a1,a2,a3,a4,a6]
Generators	[-88:244:1]	Generators of the group modulo torsion
j	13060888875/7086244	j-invariant
L	4.273397307491	L(r)(E,1)/r!
Ω	0.51673440049938	Real period
R	4.1350036918009	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	6336bp2 198d2 6336g4 69696l2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336b2

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 6336b2

-4	8	-3	-11
6336bp2	198d2	6336g4	69696l2

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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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