Cremona's table of elliptic curves

4623 = 3 · 23 · 67

Field	Data	Notes
Atkin-Lehner	3- 23- 67-	Signs for the Atkin-Lehner involutions
Class	4623c	Isogeny class
Conductor	4623	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	5184	Modular degree for the optimal curve
Δ	16045365087 = 39 · 233 · 67	Discriminant
Eigenvalues	-1 3- -4 -2 -1 -4 -3 -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1140,-13599]	[a1,a2,a3,a4,a6]
Generators	[-24:21:1] [-21:45:1]	Generators of the group modulo torsion
j	163855897047361/16045365087	j-invariant
L	3.005824036083	L(r)(E,1)/r!
Ω	0.826794882267	Real period
R	0.13464865172603	Regulator
r	2	Rank of the group of rational points
S	0.99999999999986	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	73968c1 13869a1 115575a1 106329f1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4623c1

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	-1	-4	-3	-5	-	-8	-7	2	3	-8	-13	-2	-9	-5	-	3	-7	-8	-2	10	9

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Quadratic twists for elliptic curve 4623c1

-4	-3	5	-23
73968c1	13869a1	115575a1	106329f1

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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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