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
Δ	226193408 = 212 · 74 · 23	Discriminant
Eigenvalues	2-  0  2 7+ -4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1979,-33878]	[a1,a2,a3,a4,a6]
Generators	[199:2730:1]	Generators of the group modulo torsion
j	209267191953/55223	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	2	Number of elements in the torsion subgroup
Twists	161a3 10304w3 23184bj4 64400bo4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576l3

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 2576l3

-4	8	-3	5	-7	-23
161a3	10304w3	23184bj4	64400bo4	18032x3	59248y4

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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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