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	3990a	Isogeny class
Conductor	3990	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-35910000 = -1 · 24 · 33 · 54 · 7 · 19	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,42,-252]	[a1,a2,a3,a4,a6]
Generators	[8:22:1]	Generators of the group modulo torsion
j	7892485271/35910000	j-invariant
L	1.9848141319391	L(r)(E,1)/r!
Ω	1.0398847369713	Real period
R	1.9086866662934	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	31920br1 127680cv1 11970bv1 19950cr1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990a1

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
+	+	+	+	0	-2	-2	+	4	2	8	-2	10	-4	0	-14	-8	2	8	-16	14	4	-4	2	10

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Quadratic twists for elliptic curve 3990a1

-4	8	-3	5	-7	-19
31920br1	127680cv1	11970bv1	19950cr1	27930bq1	75810cv1

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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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