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	3990p	Isogeny class
Conductor	3990	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	41184460800 = 216 · 33 · 52 · 72 · 19	Discriminant
Eigenvalues	2+ 3- 5- 7+  0 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-13178,-583252]	[a1,a2,a3,a4,a6]
Generators	[-66:40:1]	Generators of the group modulo torsion
j	253060782505556761/41184460800	j-invariant
L	3.2964115429578	L(r)(E,1)/r!
Ω	0.44560019067713	Real period
R	1.2329481344957	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	31920bf1 127680e1 11970bp1 19950by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990p1

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	-6	-8	-2	-2	4	-4	-6	4	-2	12	-8	-6	-16	16	-2	-14

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Quadratic twists for elliptic curve 3990p1

-4	8	-3	5	-7	-19
31920bf1	127680e1	11970bp1	19950by1	27930g1	75810cl1

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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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