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	3990p	Isogeny class
Conductor	3990	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	3092322318750000 = 24 · 312 · 58 · 72 · 19	Discriminant
Eigenvalues	2+ 3- 5- 7+  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-88938,9844588]	[a1,a2,a3,a4,a6]
Generators	[-106:4305:1]	Generators of the group modulo torsion
j	77799851782095807001/3092322318750000	j-invariant
L	3.2964115429578	L(r)(E,1)/r!
Ω	0.44560019067713	Real period
R	0.30823703362392	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	31920bf4 127680e4 11970bp3 19950by3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990p3

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
+	-	-	+	0	-2	2	+	-4	-6	-8	-2	-2	4	-4	-6	4	-2	12	-8	-6	-16	16	-2	-14

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Quadratic twists for elliptic curve 3990p3

-4	8	-3	5	-7	-19
31920bf4	127680e4	11970bp3	19950by3	27930g4	75810cl4

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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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