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	192	Product of Tamagawa factors cp
Δ	1013798336040000 = 26 · 34 · 54 · 74 · 194	Discriminant
Eigenvalues	2- 3+ 5- 7+ -4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-216650,-38873833]	[a1,a2,a3,a4,a6]
Generators	[-273:271:1]	Generators of the group modulo torsion
j	1124604760397601117601/1013798336040000	j-invariant
L	4.5622472953788	L(r)(E,1)/r!
Ω	0.22130099905516	Real period
R	1.7179645651764	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	31920cc4 127680cf4 11970q4 19950w3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990t3

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 3990t3

-4	8	-3	5	-7	-19
31920cc4	127680cf4	11970q4	19950w3	27930de4	75810bq4

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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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