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	2576n	Isogeny class
Conductor	2576	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	7189146632192 = 219 · 72 · 234	Discriminant
Eigenvalues	2- -2  0 7+ -4  0  6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9688,-346860]	[a1,a2,a3,a4,a6]
Generators	[-68:46:1]	Generators of the group modulo torsion
j	24553362849625/1755162752	j-invariant
L	2.1883791223375	L(r)(E,1)/r!
Ω	0.48338203836546	Real period
R	1.1318061846782	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	322b2 10304y2 23184bh2 64400bs2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576n2

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

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Quadratic twists for elliptic curve 2576n2

-4	8	-3	5	-7	-23
322b2	10304y2	23184bh2	64400bs2	18032ba2	59248bc2

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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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