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	4	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	659456 = 212 · 7 · 23	Discriminant
Eigenvalues	2-  0  2 7+ -4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-59,170]	[a1,a2,a3,a4,a6]
Generators	[7:10:1]	Generators of the group modulo torsion
j	5545233/161	j-invariant
L	3.3797059681918	L(r)(E,1)/r!
Ω	2.8632216870712	Real period
R	1.1803857114707	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	161a2 10304w1 23184bj1 64400bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576l1

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 2576l1

-4	8	-3	5	-7	-23
161a2	10304w1	23184bj1	64400bo1	18032x1	59248y1

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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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