Cremona's table of elliptic curves

2576 = 2⁴ · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 7+ 23-	Signs for the Atkin-Lehner involutions
Class	2576d	Isogeny class
Conductor	2576	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2770869248 = 210 · 76 · 23	Discriminant
Eigenvalues	2+ -2  4 7+ -4 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-376,1092]	[a1,a2,a3,a4,a6]
j	5756278756/2705927	j-invariant
L	1.2810609443951	L(r)(E,1)/r!
Ω	1.2810609443951	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	1288d2 10304z2 23184g2 64400p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576d2

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

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Quadratic twists for elliptic curve 2576d2

-4	8	-3	5	-7	-23
1288d2	10304z2	23184g2	64400p2	18032m2	59248q2

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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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