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	384	Product of Tamagawa factors cp
Δ	3760263939600 = 24 · 312 · 52 · 72 · 192	Discriminant
Eigenvalues	2- 3- 5- 7+  4  6  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-10185,383625]	[a1,a2,a3,a4,a6]
j	116844823575501841/3760263939600	j-invariant
L	4.6924775080239	L(r)(E,1)/r!
Ω	0.78207958467064	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	31920bk2 127680j2 11970r2 19950g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990bb2

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 3990bb2

-4	8	-3	5	-7	-19
31920bk2	127680j2	11970r2	19950g2	27930cg2	75810w2

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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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