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	3990y	Isogeny class
Conductor	3990	Conductor
∏ cp	960	Product of Tamagawa factors cp
Δ	88068464870400 = 210 · 34 · 52 · 76 · 192	Discriminant
Eigenvalues	2- 3- 5+ 7- -4 -6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-11571,159201]	[a1,a2,a3,a4,a6]
Generators	[-84:777:1]	Generators of the group modulo torsion
j	171332100266282929/88068464870400	j-invariant
L	5.7124503670589	L(r)(E,1)/r!
Ω	0.53304530267902	Real period
R	0.17861053392488	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	31920u2 127680bm2 11970ba2 19950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990y2

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	2	-8	-2	-10	-8	0	6	4	2	4	0	-10	-8	-4	6	-14

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Quadratic twists for elliptic curve 3990y2

-4	8	-3	5	-7	-19
31920u2	127680bm2	11970ba2	19950a2	27930cp2	75810o2

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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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