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	4230a	Isogeny class
Conductor	4230	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2173987350 = 2 · 39 · 52 · 472	Discriminant
Eigenvalues	2+ 3+ 5+  2  0 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-420,2546]	[a1,a2,a3,a4,a6]
Generators	[-17:76:1]	Generators of the group modulo torsion
j	416832723/110450	j-invariant
L	2.6967611984285	L(r)(E,1)/r!
Ω	1.3679499038776	Real period
R	0.98569442886184	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	33840z2 4230y2 21150bs2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4230a2

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

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Quadratic twists for elliptic curve 4230a2

-4	-3	5
33840z2	4230y2	21150bs2

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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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