Cremona's table of elliptic curves

2010 = 2 · 3 · 5 · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 67-	Signs for the Atkin-Lehner involutions
Class	2010j	Isogeny class
Conductor	2010	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	902289000000 = 26 · 3 · 56 · 673	Discriminant
Eigenvalues	2- 3- 5+  2  0  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-19131,-1019055]	[a1,a2,a3,a4,a6]
j	774351503748971569/902289000000	j-invariant
L	3.653742301196	L(r)(E,1)/r!
Ω	0.40597136679955	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16080m3 64320h3 6030l3 10050b3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2010j3

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
-	-	+	2	0	2	0	8	-6	0	-4	2	-6	8	6	6	-6	8	-	12	2	-4	0	6	-16

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Quadratic twists for elliptic curve 2010j3

-4	8	-3	5	-7
16080m3	64320h3	6030l3	10050b3	98490bo3

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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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