Cremona's table of elliptic curves

3990 = 2 · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 7- 19+	Signs for the Atkin-Lehner involutions
Class	3990m	Isogeny class
Conductor	3990	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	7882963200 = 28 · 33 · 52 · 74 · 19	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 -6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-529,-1948]	[a1,a2,a3,a4,a6]
Generators	[-14:59:1]	Generators of the group modulo torsion
j	16327137318409/7882963200	j-invariant
L	3.1218574453462	L(r)(E,1)/r!
Ω	1.0449163252742	Real period
R	0.24897188494391	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	31920v1 127680bu1 11970cg1 19950bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990m1

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	-6	-2	+	0	-6	0	-2	6	-4	-4	-6	-4	-2	-16	0	2	4	-8	6	-2

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Quadratic twists for elliptic curve 3990m1

-4	8	-3	5	-7	-19
31920v1	127680bu1	11970cg1	19950bq1	27930x1	75810ch1

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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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