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	11592k	Isogeny class
Conductor	11592	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1382397185820672 = 211 · 312 · 74 · 232	Discriminant
Eigenvalues	2- 3-  0 7+  2 -6  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-276555,55949798]	[a1,a2,a3,a4,a6]
Generators	[2062:90846:1]	Generators of the group modulo torsion
j	1566789944863250/925924041	j-invariant
L	4.3265198845438	L(r)(E,1)/r!
Ω	0.47519410791332	Real period
R	4.5523711389673	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	23184o2 92736ba2 3864a2 81144bm2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11592k2

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

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Quadratic twists for elliptic curve 11592k2

-4	8	-3	-7
23184o2	92736ba2	3864a2	81144bm2

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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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