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	106172416 = 212 · 72 · 232	Discriminant
Eigenvalues	2-  0  2 7+ -4  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-139,-390]	[a1,a2,a3,a4,a6]
Generators	[15:30:1]	Generators of the group modulo torsion
j	72511713/25921	j-invariant
L	3.3797059681918	L(r)(E,1)/r!
Ω	1.4316108435356	Real period
R	2.3607714229414	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	161a1 10304w2 23184bj2 64400bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2576l2

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 2576l2

-4	8	-3	5	-7	-23
161a1	10304w2	23184bj2	64400bo2	18032x2	59248y2

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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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