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	3990k	Isogeny class
Conductor	3990	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-71071875000 = -1 · 23 · 32 · 58 · 7 · 192	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -2 -2  4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-444,-13358]	[a1,a2,a3,a4,a6]
Generators	[158:1887:1]	Generators of the group modulo torsion
j	-9648632960569/71071875000	j-invariant
L	2.8914899530017	L(r)(E,1)/r!
Ω	0.46033756613244	Real period
R	3.1406191518268	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	31920y2 127680v2 11970cc2 19950cc2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990k2

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
+	-	+	+	-2	-2	4	-	4	-6	-6	-4	10	4	-6	2	12	-14	-2	0	-6	-12	-12	2	4

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Quadratic twists for elliptic curve 3990k2

-4	8	-3	5	-7	-19
31920y2	127680v2	11970cc2	19950cc2	27930m2	75810bz2

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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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