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	11592q	Isogeny class
Conductor	11592	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-13145328 = -1 · 24 · 36 · 72 · 23	Discriminant
Eigenvalues	2- 3-  0 7-  6 -3  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-255,-1577]	[a1,a2,a3,a4,a6]
j	-157216000/1127	j-invariant
L	2.3884081979691	L(r)(E,1)/r!
Ω	0.59710204949229	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23184i1 92736bw1 1288e1 81144bp1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 11592q1

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	-	6	-3	0	0	+	3	-7	8	11	4	-1	-4	-12	-6	12	5	15	-4	0	12	-14

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Quadratic twists for elliptic curve 11592q1

-4	8	-3	-7
23184i1	92736bw1	1288e1	81144bp1

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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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