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
deg	960	Modular degree for the optimal curve
Δ	-46450432 = -1 · 28 · 73 · 232	Discriminant
Eigenvalues	2+ -2  4 7+ -4 -2 -4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,84,172]	[a1,a2,a3,a4,a6]
j	253012016/181447	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	1288d1 10304z1 23184g1 64400p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576d1

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 2576d1

-4	8	-3	5	-7	-23
1288d1	10304z1	23184g1	64400p1	18032m1	59248q1

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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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