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	6336bc	Isogeny class
Conductor	6336	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	29265629184 = 212 · 310 · 112	Discriminant
Eigenvalues	2+ 3- -2  0 11-  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1236,14560]	[a1,a2,a3,a4,a6]
Generators	[-18:176:1]	Generators of the group modulo torsion
j	69934528/9801	j-invariant
L	3.6610785069342	L(r)(E,1)/r!
Ω	1.1327557223593	Real period
R	1.6160053022327	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6336p2 3168u1 2112k2 69696cq2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bc2

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	0	-	6	-2	-4	-4	2	4	2	-10	-4	-4	6	12	6	-4	-4	10	16	-4	-10	2

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Quadratic twists for elliptic curve 6336bc2

-4	8	-3	-11
6336p2	3168u1	2112k2	69696cq2

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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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