Cremona's table of elliptic curves

5776 = 2⁴ · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	5776n	Isogeny class
Conductor	5776	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	216	Modular degree for the optimal curve
Δ	5776 = 24 · 192	Discriminant
Eigenvalues	2- -1 -1  0  4  1  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6,7]	[a1,a2,a3,a4,a6]
Generators	[1:1:1]	Generators of the group modulo torsion
j	4864	j-invariant
L	3.1028164049415	L(r)(E,1)/r!
Ω	4.0385308830311	Real period
R	0.7683032505654	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1444b1 23104br1 51984co1 5776h1	Quadratic twists by: -4 8 -3 -19

Hecke Eigenvalues for elliptic curve 5776n1

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	-1	0	4	1	3	-	-5	-7	4	-10	5	5	7	-11	3	11	-3	11	15	-13	0	-3	5

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Quadratic twists for elliptic curve 5776n1

-4	8	-3	-19
1444b1	23104br1	51984co1	5776h1

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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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