Cremona's table of elliptic curves

43920 = 2⁴ · 3² · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 61-	Signs for the Atkin-Lehner involutions
Class	43920q	Isogeny class
Conductor	43920	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	113903536953600 = 28 · 314 · 52 · 612	Discriminant
Eigenvalues	2+ 3- 5+ -4 -4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16023,588022]	[a1,a2,a3,a4,a6]
Generators	[-139:360:1]	Generators of the group modulo torsion
j	2437741869136/610337025	j-invariant
L	3.0486123991122	L(r)(E,1)/r!
Ω	0.55479067273475	Real period
R	2.7475339339063	Regulator
r	1	Rank of the group of rational points
S	1.0000000000018	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	21960f2 14640q2	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 43920q2

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	-2	-6	4	-4	2	0	2	-10	8	0	6	12	-	-8	0	2	-16	12	-18	2

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Quadratic twists for elliptic curve 43920q2

-4	-3
21960f2	14640q2

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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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