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	4830m	Isogeny class
Conductor	4830	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-3332700 = -1 · 22 · 32 · 52 · 7 · 232	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4  4 -4  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,17,-82]	[a1,a2,a3,a4,a6]
Generators	[4:5:1]	Generators of the group modulo torsion
j	590589719/3332700	j-invariant
L	3.4203678120595	L(r)(E,1)/r!
Ω	1.2591083093302	Real period
R	0.67912501782292	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	38640ce1 14490bn1 24150bv1 33810g1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830m1

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	4	-4	2	+	-10	2	2	-2	-8	6	-10	-4	2	0	8	-2	-16	6	4	-4

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Quadratic twists for elliptic curve 4830m1

-4	-3	5	-7	-23
38640ce1	14490bn1	24150bv1	33810g1	111090z1

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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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