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	28	Product of Tamagawa factors cp
Δ	1197723879765000 = 23 · 37 · 54 · 78 · 19	Discriminant
Eigenvalues	2+ 3- 5+ 7+  4 -2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1774179,909437302]	[a1,a2,a3,a4,a6]
Generators	[776:-51:1]	Generators of the group modulo torsion
j	617611911727813844500009/1197723879765000	j-invariant
L	3.0071106514458	L(r)(E,1)/r!
Ω	0.41765898178666	Real period
R	1.028559793167	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	31920z4 127680x4 11970cd3 19950ce4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990l4

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 3990l4

-4	8	-3	5	-7	-19
31920z4	127680x4	11970cd3	19950ce4	27930q4	75810cc4

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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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