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	43320l	Isogeny class
Conductor	43320	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	978253231161600 = 28 · 32 · 52 · 198	Discriminant
Eigenvalues	2+ 3+ 5-  4  0 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-36220,2197300]	[a1,a2,a3,a4,a6]
Generators	[3990:251720:1]	Generators of the group modulo torsion
j	436334416/81225	j-invariant
L	6.4005590814265	L(r)(E,1)/r!
Ω	0.47030185278656	Real period
R	6.8047351328744	Regulator
r	1	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	86640bi2 129960cn2 2280j2	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for elliptic curve 43320l2

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

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Quadratic twists for elliptic curve 43320l2

-4	-3	-19
86640bi2	129960cn2	2280j2

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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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