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	6336bi	Isogeny class
Conductor	6336	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	36563462560677888 = 220 · 39 · 116	Discriminant
Eigenvalues	2- 3+  0 -2 11+ -2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-84780,-2374704]	[a1,a2,a3,a4,a6]
j	13060888875/7086244	j-invariant
L	1.1933469809114	L(r)(E,1)/r!
Ω	0.29833674522786	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	6336g4 1584j4 6336bp2 69696ee4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bi4

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 6336bi4

-4	8	-3	-11
6336g4	1584j4	6336bp2	69696ee4

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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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