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	3990u	Isogeny class
Conductor	3990	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	367817990400 = 28 · 32 · 52 · 72 · 194	Discriminant
Eigenvalues	2- 3+ 5- 7+  4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2155,-26023]	[a1,a2,a3,a4,a6]
j	1106822887395121/367817990400	j-invariant
L	2.8776108751527	L(r)(E,1)/r!
Ω	0.71940271878818	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	31920bx2 127680bz2 11970t2 19950z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990u2

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	-	0	6	0	-2	-6	12	-8	-10	-4	14	4	0	10	8	12	10	-14

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Quadratic twists for elliptic curve 3990u2

-4	8	-3	5	-7	-19
31920bx2	127680bz2	11970t2	19950z2	27930da2	75810bo2

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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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