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	24	Product of Tamagawa factors cp
Δ	-38485420312500 = -1 · 22 · 33 · 58 · 7 · 194	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 -6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-669,298492]	[a1,a2,a3,a4,a6]
Generators	[20:531:1]	Generators of the group modulo torsion
j	-33042169120969/38485420312500	j-invariant
L	3.1218574453462	L(r)(E,1)/r!
Ω	0.5224581626371	Real period
R	0.99588753977563	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	31920v3 127680bu3 11970cg4 19950bq4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990m4

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 3990m4

-4	8	-3	5	-7	-19
31920v3	127680bu3	11970cg4	19950bq4	27930x3	75810ch3

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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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