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	3990bb	Isogeny class
Conductor	3990	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1123462695162150 = 2 · 33 · 52 · 72 · 198	Discriminant
Eigenvalues	2- 3- 5- 7+  4  6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-355515,-81603333]	[a1,a2,a3,a4,a6]
j	4969327007303723277361/1123462695162150	j-invariant
L	4.6924775080239	L(r)(E,1)/r!
Ω	0.19551989616766	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31920bk6 127680j6 11970r5 19950g5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990bb5

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	+	-8	-2	8	-10	10	4	-8	-10	-4	-10	-4	16	10	8	12	-6	2

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Quadratic twists for elliptic curve 3990bb5

-4	8	-3	5	-7	-19
31920bk6	127680j6	11970r5	19950g5	27930cg6	75810w6

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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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