Cremona's table of elliptic curves

2844 = 2² · 3² · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 79-	Signs for the Atkin-Lehner involutions
Class	2844d	Isogeny class
Conductor	2844	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-276038731008 = -1 · 28 · 37 · 793	Discriminant
Eigenvalues	2- 3-  0 -1 -3  5  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-975,27862]	[a1,a2,a3,a4,a6]
j	-549250000/1479117	j-invariant
L	1.7253061270548	L(r)(E,1)/r!
Ω	0.8626530635274	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	11376j2 45504v2 948c2 71100o2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2844d2

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	-1	-3	5	3	2	3	-9	2	8	-6	11	6	-6	6	-10	8	12	11	-	3	12	-1

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Quadratic twists for elliptic curve 2844d2

-4	8	-3	5
11376j2	45504v2	948c2	71100o2

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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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