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	3990t	Isogeny class
Conductor	3990	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1092005739697609800 = -1 · 23 · 38 · 52 · 72 · 198	Discriminant
Eigenvalues	2- 3+ 5- 7+ -4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-167650,-56866633]	[a1,a2,a3,a4,a6]
Generators	[707:13011:1]	Generators of the group modulo torsion
j	-521116167586355661601/1092005739697609800	j-invariant
L	4.5622472953788	L(r)(E,1)/r!
Ω	0.11065049952758	Real period
R	3.4359291303527	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	31920cc5 127680cf5 11970q6 19950w6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990t6

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	-2	2	+	0	-2	8	-2	-6	-4	-8	6	-12	-10	-12	-8	-6	-8	12	-6	18

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Quadratic twists for elliptic curve 3990t6

-4	8	-3	5	-7	-19
31920cc5	127680cf5	11970q6	19950w6	27930de5	75810bq5

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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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