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	4830k	Isogeny class
Conductor	4830	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	579600 = 24 · 32 · 52 · 7 · 23	Discriminant
Eigenvalues	2+ 3- 5+ 7- -2  4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-24,22]	[a1,a2,a3,a4,a6]
Generators	[-4:9:1]	Generators of the group modulo torsion
j	1439069689/579600	j-invariant
L	3.2264299572046	L(r)(E,1)/r!
Ω	2.6378770271001	Real period
R	0.61155806810892	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	38640bk1 14490cb1 24150bq1 33810q1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4830k1

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

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Quadratic twists for elliptic curve 4830k1

-4	-3	5	-7	-23
38640bk1	14490cb1	24150bq1	33810q1	111090be1

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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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