Cremona's table of elliptic curves

184 = 2³ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Class	184d	Isogeny class
Conductor	184	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-368 = -1 · 24 · 23	Discriminant
Eigenvalues	2+  3  0 -2  0 -5 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-55,-157]	[a1,a2,a3,a4,a6]
j	-1149984000/23	j-invariant
L	1.7531067469148	L(r)(E,1)/r!
Ω	0.87655337345738	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	368g1 1472g1 1656e1 4600k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 184d1

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
+	3	0	-2	0	-5	-6	6	-	9	3	-8	3	-8	7	-2	4	-10	8	7	9	-6	-14	16	6

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Quadratic twists for elliptic curve 184d1

-4	8	-3	5	-7	-11	13	17	-19	-23
368g1	1472g1	1656e1	4600k1	9016k1	22264h1	31096f1	53176b1	66424p1	4232e1

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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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