Cremona's table of elliptic curves

4002 = 2 · 3 · 23 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 23- 29-	Signs for the Atkin-Lehner involutions
Class	4002l	Isogeny class
Conductor	4002	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-5270658012 = -1 · 22 · 34 · 23 · 294	Discriminant
Eigenvalues	2- 3+  2  4  0 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,333,2733]	[a1,a2,a3,a4,a6]
j	4082957867087/5270658012	j-invariant
L	3.6563870656023	L(r)(E,1)/r!
Ω	0.91409676640057	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	32016bd3 128064bk3 12006c4 100050bb3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4002l4

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

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Quadratic twists for elliptic curve 4002l4

-4	8	-3	5	-23	29
32016bd3	128064bk3	12006c4	100050bb3	92046bb3	116058n3

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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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