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	3990w	Isogeny class
Conductor	3990	Conductor
∏ cp	280	Product of Tamagawa factors cp
deg	4480	Modular degree for the optimal curve
Δ	92665036800 = 214 · 35 · 52 · 72 · 19	Discriminant
Eigenvalues	2- 3- 5+ 7+ -2 -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2106,34020]	[a1,a2,a3,a4,a6]
Generators	[-12:-234:1]	Generators of the group modulo torsion
j	1033027067767969/92665036800	j-invariant
L	5.610008629805	L(r)(E,1)/r!
Ω	1.0432521713783	Real period
R	0.076820334167057	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	31920bc1 127680bc1 11970w1 19950d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990w1

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

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Quadratic twists for elliptic curve 3990w1

-4	8	-3	5	-7	-19
31920bc1	127680bc1	11970w1	19950d1	27930ct1	75810e1

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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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