Cremona's table of elliptic curves

184 = 2³ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23+	Signs for the Atkin-Lehner involutions
Class	184b	Isogeny class
Conductor	184	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	-368 = -1 · 24 · 23	Discriminant
Eigenvalues	2+ -1 -2 -4 -2  7 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4,5]	[a1,a2,a3,a4,a6]
Generators	[2:-1:1]	Generators of the group modulo torsion
j	-562432/23	j-invariant
L	1.0975263442984	L(r)(E,1)/r!
Ω	5.3243221524613	Real period
R	0.10306723681164	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	368c1 1472a1 1656i1 4600l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 184b1

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
+	-1	-2	-4	-2	7	-4	-6	+	5	3	2	-9	8	-1	-6	-8	-10	2	-13	-3	6	0	-4	-8

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Quadratic twists for elliptic curve 184b1

-4	8	-3	5	-7	-11	13	17	-19	-23
368c1	1472a1	1656i1	4600l1	9016b1	22264e1	31096d1	53176c1	66424i1	4232c1

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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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