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	3990l	Isogeny class
Conductor	3990	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	16128	Modular degree for the optimal curve
Δ	-286015269335040 = -1 · 212 · 37 · 5 · 72 · 194	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,3461,810182]	[a1,a2,a3,a4,a6]
Generators	[-62:629:1]	Generators of the group modulo torsion
j	4586790226340951/286015269335040	j-invariant
L	3.0071106514458	L(r)(E,1)/r!
Ω	0.41765898178666	Real period
R	0.25713994829175	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	31920z1 127680x1 11970cd1 19950ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990l1

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

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Quadratic twists for elliptic curve 3990l1

-4	8	-3	5	-7	-19
31920z1	127680x1	11970cd1	19950ce1	27930q1	75810cc1

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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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