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	108	Product of Tamagawa factors cp
Δ	8377551360 = 29 · 36 · 5 · 672	Discriminant
Eigenvalues	2- 3- 5+  2  0  2  0  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-13691,615441]	[a1,a2,a3,a4,a6]
j	283812295341557809/8377551360	j-invariant
L	3.653742301196	L(r)(E,1)/r!
Ω	1.2179141003987	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	16080m2 64320h2 6030l2 10050b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2010j2

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 2010j2

-4	8	-3	5	-7
16080m2	64320h2	6030l2	10050b2	98490bo2

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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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