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	2576l	Isogeny class
Conductor	2576	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-8023601152 = -1 · 212 · 7 · 234	Discriminant
Eigenvalues	2-  0  2 7+ -4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,421,-2742]	[a1,a2,a3,a4,a6]
Generators	[237:1090:27]	Generators of the group modulo torsion
j	2014698447/1958887	j-invariant
L	3.3797059681918	L(r)(E,1)/r!
Ω	0.7158054217678	Real period
R	4.7215428458828	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	161a4 10304w4 23184bj3 64400bo3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576l4

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	2	+	-4	6	-2	-4	-	-2	4	-2	-6	-12	12	-10	0	2	-12	-8	-14	-8	4	6	-10

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Quadratic twists for elliptic curve 2576l4

-4	8	-3	5	-7	-23
161a4	10304w4	23184bj3	64400bo3	18032x4	59248y3

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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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