Cremona's table of elliptic curves

4600 = 2³ · 5² · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	4600h	Isogeny class
Conductor	4600	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	17280	Modular degree for the optimal curve
Δ	-3218171500000000 = -1 · 28 · 59 · 235	Discriminant
Eigenvalues	2-  0 5+ -1 -6  2  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,36700,-355500]	[a1,a2,a3,a4,a6]
j	1366664500224/804542875	j-invariant
L	1.0519140835732	L(r)(E,1)/r!
Ω	0.26297852089329	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	9200d1 36800c1 41400j1 920a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4600h1

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

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Quadratic twists for elliptic curve 4600h1

-4	8	-3	5	-23
9200d1	36800c1	41400j1	920a1	105800r1

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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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