Cremona's table of elliptic curves

4230 = 2 · 3² · 5 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 47-	Signs for the Atkin-Lehner involutions
Class	4230j	Isogeny class
Conductor	4230	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4704	Modular degree for the optimal curve
Δ	70170624000 = 214 · 36 · 53 · 47	Discriminant
Eigenvalues	2+ 3- 5+ -3  1 -1  8 -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1050,-2764]	[a1,a2,a3,a4,a6]
Generators	[-28:78:1]	Generators of the group modulo torsion
j	175710096801/96256000	j-invariant
L	2.3325550526551	L(r)(E,1)/r!
Ω	0.89608730786262	Real period
R	1.3015222022387	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	33840bt1 470f1 21150bz1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4230j1

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
+	-	+	-3	1	-1	8	-5	2	2	-5	-4	-6	6	-	-2	12	11	14	4	-11	-4	-5	-14	-14

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Quadratic twists for elliptic curve 4230j1

-4	-3	5
33840bt1	470f1	21150bz1

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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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