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	128	Product of Tamagawa factors cp
Δ	702076410000 = 24 · 34 · 54 · 74 · 192	Discriminant
Eigenvalues	2- 3+ 5- 7+  4 -2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-31035,-2116935]	[a1,a2,a3,a4,a6]
j	3305824819139208241/702076410000	j-invariant
L	2.8776108751527	L(r)(E,1)/r!
Ω	0.35970135939409	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	31920bx4 127680bz4 11970t3 19950z3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3990u3

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 3990u3

-4	8	-3	5	-7	-19
31920bx4	127680bz4	11970t3	19950z3	27930da4	75810bo4

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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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