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	6336bz	Isogeny class
Conductor	6336	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4196908007424 = -1 · 217 · 37 · 114	Discriminant
Eigenvalues	2- 3-  2  0 11+ -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,3156,71120]	[a1,a2,a3,a4,a6]
Generators	[5:295:1]	Generators of the group modulo torsion
j	36382894/43923	j-invariant
L	4.4653927139482	L(r)(E,1)/r!
Ω	0.52133069566503	Real period
R	4.2826873144809	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	6336z4 1584g4 2112w4 69696gh3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 6336bz4

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	+	-2	-6	0	4	2	0	10	-6	-8	-4	-6	12	-2	4	12	-14	-16	12	-10	-14

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Quadratic twists for elliptic curve 6336bz4

-4	8	-3	-11
6336z4	1584g4	2112w4	69696gh3

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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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