Cremona's table of elliptic curves

11592 = 2³ · 3² · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	11592s	Isogeny class
Conductor	11592	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	2019963681792 = 210 · 36 · 76 · 23	Discriminant
Eigenvalues	2- 3- -4 7- -4 -2  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3387,32870]	[a1,a2,a3,a4,a6]
Generators	[-53:252:1]	Generators of the group modulo torsion
j	5756278756/2705927	j-invariant
L	3.1372290507989	L(r)(E,1)/r!
Ω	0.73962088109485	Real period
R	0.70694530377845	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	23184g2 92736cs2 1288d2 81144ce2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11592s2

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
-	-	-4	-	-4	-2	4	0	-	-2	-6	2	6	-4	10	-6	2	8	-4	16	6	0	-12	4	-8

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Quadratic twists for elliptic curve 11592s2

-4	8	-3	-7
23184g2	92736cs2	1288d2	81144ce2

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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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