Cremona's table of elliptic curves

184 = 2³ · 23

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	184a	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 -4  2 -4 -5 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,0,1]	[a1,a2,a3,a4,a6]
Generators	[0:1:1]	Generators of the group modulo torsion
j	-256/23	j-invariant
L	1.087584739772	L(r)(E,1)/r!
Ω	4.4163757465779	Real period
R	0.12313091120188	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	368d1 1472e1 1656b1 4600a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 184a1

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	-4	2	-4	-5	-2	6	-	1	-9	-4	3	8	-5	6	-4	-10	-4	-5	-15	-6	6	-8	10

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Quadratic twists for elliptic curve 184a1

-4	8	-3	5	-7	-11	13	17	-19	-23
368d1	1472e1	1656b1	4600a1	9016m1	22264b1	31096b1	53176d1	66424e1	4232h1

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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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