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	48	Product of Tamagawa factors cp
Δ	22365315000 = 23 · 34 · 54 · 74 · 23	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1211,14033]	[a1,a2,a3,a4,a6]
Generators	[-19:184:1]	Generators of the group modulo torsion
j	196416765680689/22365315000	j-invariant
L	4.5000210235199	L(r)(E,1)/r!
Ω	1.1663902868339	Real period
R	0.32150623697143	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38640cn3 14490be3 24150bd3 33810dg3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830t4

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 4830t4

-4	-3	5	-7	-23
38640cn3	14490be3	24150bd3	33810dg3	111090cf3

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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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