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	768	Product of Tamagawa factors cp
Δ	254721600000000 = 212 · 32 · 58 · 72 · 192	Discriminant
Eigenvalues	2- 3+ 5- 7+ -4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-16650,-313833]	[a1,a2,a3,a4,a6]
Generators	[-113:431:1]	Generators of the group modulo torsion
j	510467451652317601/254721600000000	j-invariant
L	4.5622472953788	L(r)(E,1)/r!
Ω	0.44260199811033	Real period
R	0.85898228258819	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	31920cc2 127680cf2 11970q2 19950w2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990t2

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 3990t2

-4	8	-3	5	-7	-19
31920cc2	127680cf2	11970q2	19950w2	27930de2	75810bq2

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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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