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	3990a	Isogeny class
Conductor	3990	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	1289528100 = 22 · 36 · 52 · 72 · 192	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-458,-3552]	[a1,a2,a3,a4,a6]
Generators	[-14:26:1]	Generators of the group modulo torsion
j	10661073346729/1289528100	j-invariant
L	1.9848141319391	L(r)(E,1)/r!
Ω	1.0398847369713	Real period
R	0.95434333314671	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	31920br2 127680cv2 11970bv2 19950cr2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990a2

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	2	8	-2	10	-4	0	-14	-8	2	8	-16	14	4	-4	2	10

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Quadratic twists for elliptic curve 3990a2

-4	8	-3	5	-7	-19
31920br2	127680cv2	11970bv2	19950cr2	27930bq2	75810cv2

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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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