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	4623b	Isogeny class
Conductor	4623	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	1680964407 = 35 · 23 · 673	Discriminant
Eigenvalues	1 3-  0 -2  1  0  7 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-346,-1519]	[a1,a2,a3,a4,a6]
Generators	[73:566:1]	Generators of the group modulo torsion
j	4561907001625/1680964407	j-invariant
L	5.0830109947171	L(r)(E,1)/r!
Ω	1.1416540964248	Real period
R	0.29682142840725	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	73968h1 13869c1 115575b1 106329d1	Quadratic twists by: -4 -3 5 -23

Hecke Eigenvalues for elliptic curve 4623b1

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	-	0	-2	1	0	7	-1	+	8	-11	-10	-7	-8	-3	6	9	3	-	5	1	4	-6	-10	-7

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Quadratic twists for elliptic curve 4623b1

-4	-3	5	-23
73968h1	13869c1	115575b1	106329d1

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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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