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	11592j	Isogeny class
Conductor	11592	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	8960	Modular degree for the optimal curve
Δ	-65711616768 = -1 · 28 · 313 · 7 · 23	Discriminant
Eigenvalues	2- 3-  0 7+ -1 -6  0  7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,60,-12332]	[a1,a2,a3,a4,a6]
Generators	[41:243:1]	Generators of the group modulo torsion
j	128000/352107	j-invariant
L	4.1828502206102	L(r)(E,1)/r!
Ω	0.51108677124758	Real period
R	1.0230283916368	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23184n1 92736y1 3864c1 81144bl1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11592j1

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	+	-1	-6	0	7	+	10	-10	6	5	4	1	3	3	9	-4	12	-4	-2	-2	-18	-6

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Quadratic twists for elliptic curve 11592j1

-4	8	-3	-7
23184n1	92736y1	3864c1	81144bl1

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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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