Cremona's table of elliptic curves

5776 = 2⁴ · 19²

Field	Data	Notes
Atkin-Lehner	2- 19+	Signs for the Atkin-Lehner involutions
Class	5776g	Isogeny class
Conductor	5776	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-1321728810102784 = -1 · 212 · 199	Discriminant
Eigenvalues	2-  0 -1 -3  5  0 -7 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-219488,39617584]	[a1,a2,a3,a4,a6]
j	-884736	j-invariant
L	0.96137810811507	L(r)(E,1)/r!
Ω	0.48068905405754	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	361a2 23104x2 51984cc2 5776g1	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 5776g2

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	0	-7	+	4	0	0	0	0	1	-13	0	0	15	0	0	-11	0	16	0	0

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Quadratic twists for elliptic curve 5776g2

-4	8	-3	-19
361a2	23104x2	51984cc2	5776g1

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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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