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	4230be	Isogeny class
Conductor	4230	Conductor
∏ cp	528	Product of Tamagawa factors cp
deg	126720	Modular degree for the optimal curve
Δ	-1665181800000000000 = -1 · 212 · 311 · 511 · 47	Discriminant
Eigenvalues	2- 3- 5- -1 -2 -5 -7  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3768962,2817938049]	[a1,a2,a3,a4,a6]
Generators	[1907:-51579:1]	Generators of the group modulo torsion
j	-8121969458732291369689/2284200000000000	j-invariant
L	5.3372700485983	L(r)(E,1)/r!
Ω	0.26012459396639	Real period
R	0.038860093338345	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	33840ce1 1410a1 21150n1	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 4230be1

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
-	-	-	-1	-2	-5	-7	3	7	-3	0	-4	3	-2	-	-11	-5	-11	-8	5	-2	-10	-4	-2	-8

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Quadratic twists for elliptic curve 4230be1

-4	-3	5
33840ce1	1410a1	21150n1

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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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