Cremona's table of elliptic curves

29584 = 2⁴ · 43²

Field	Data	Notes
Atkin-Lehner	2- 43-	Signs for the Atkin-Lehner involutions
Class	29584l	Isogeny class
Conductor	29584	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	31021072384 = 224 · 432	Discriminant
Eigenvalues	2-  1 -3 -1  0 -1  3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3712,-87884]	[a1,a2,a3,a4,a6]
Generators	[-978:512:27]	Generators of the group modulo torsion
j	747081097/4096	j-invariant
L	4.2881690330451	L(r)(E,1)/r!
Ω	0.61183057684997	Real period
R	1.7521881037406	Regulator
r	1	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3698b2 118336bi2 29584j2	Quadratic twists by: -4 8 -43

Hecke Eigenvalues for elliptic curve 29584l2

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
-	1	-3	-1	0	-1	3	-7	3	9	7	-11	6	-	0	-9	12	1	-5	3	-11	1	15	9	-10

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Quadratic twists for elliptic curve 29584l2

-4	8	-43
3698b2	118336bi2	29584j2

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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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