Cremona's table of elliptic curves

43320 = 2³ · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	43320v	Isogeny class
Conductor	43320	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	191520	Modular degree for the optimal curve
Δ	-1471455901872240 = -1 · 24 · 3 · 5 · 1910	Discriminant
Eigenvalues	2- 3+ 5- -2  2  4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-43440,3957897]	[a1,a2,a3,a4,a6]
j	-92416/15	j-invariant
L	0.92188451353857	L(r)(E,1)/r!
Ω	0.46094225673631	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86640bd1 129960v1 43320m1	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for elliptic curve 43320v1

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	2	4	-3	-	-8	-6	1	-4	-8	0	-1	-5	-6	-2	-10	-12	-2	-8	-15	10	6

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Quadratic twists for elliptic curve 43320v1

-4	-3	-19
86640bd1	129960v1	43320m1

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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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