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	3990c	Isogeny class
Conductor	3990	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	766080	Modular degree for the optimal curve
Δ	2.251166891499E+22	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  6 -2  4 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-33596803,74591617357]	[a1,a2,a3,a4,a6]
Generators	[158367:7527244:27]	Generators of the group modulo torsion
j	4193895363953824558241038009/22511668914990297907200	j-invariant
L	2.1646271697116	L(r)(E,1)/r!
Ω	0.12111159044231	Real period
R	8.9364988181815	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	31920bt1 127680cy1 11970ca1 19950cx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990c1

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
+	+	+	+	6	-2	4	+	-8	-10	2	-8	-2	8	-6	10	4	14	-10	8	14	-8	-4	14	-8

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Quadratic twists for elliptic curve 3990c1

-4	8	-3	5	-7	-19
31920bt1	127680cy1	11970ca1	19950cx1	27930by1	75810cz1

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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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