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	4600c	Isogeny class
Conductor	4600	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	9120	Modular degree for the optimal curve
Δ	-10580000000000 = -1 · 211 · 510 · 232	Discriminant
Eigenvalues	2+ -1 5+ -4  3  2  1 -1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-15208,-733588]	[a1,a2,a3,a4,a6]
Generators	[5098:125971:8]	Generators of the group modulo torsion
j	-19450850/529	j-invariant
L	2.7391181688582	L(r)(E,1)/r!
Ω	0.21461119031628	Real period
R	6.381582816864	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	9200g1 36800h1 41400cc1 4600n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4600c1

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	3	2	1	-1	+	0	8	2	1	-12	-6	4	12	0	-13	12	17	-14	-5	1	2

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Quadratic twists for elliptic curve 4600c1

-4	8	-3	5	-23
9200g1	36800h1	41400cc1	4600n1	105800h1

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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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