Cremona's table of elliptic curves

4830 = 2 · 3 · 5 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 23+	Signs for the Atkin-Lehner involutions
Class	4830t	Isogeny class
Conductor	4830	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	235066440 = 23 · 3 · 5 · 7 · 234	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4491,-117711]	[a1,a2,a3,a4,a6]
Generators	[-39:20:1]	Generators of the group modulo torsion
j	10017490085065009/235066440	j-invariant
L	4.5000210235199	L(r)(E,1)/r!
Ω	0.58319514341695	Real period
R	1.2860249478857	Regulator
r	1	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38640cn4 14490be4 24150bd4 33810dg4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830t3

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
-	+	+	-	-4	-2	6	-4	+	2	4	-6	10	4	-12	-6	-4	-14	-12	-12	10	-8	-4	-6	2

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Quadratic twists for elliptic curve 4830t3

-4	-3	5	-7	-23
38640cn4	14490be4	24150bd4	33810dg4	111090cf4

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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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