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	2010a	Isogeny class
Conductor	2010	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	196289062500 = 22 · 3 · 512 · 67	Discriminant
Eigenvalues	2+ 3+ 5+  0  4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4613,116793]	[a1,a2,a3,a4,a6]
j	10859783578981849/196289062500	j-invariant
L	1.006719813168	L(r)(E,1)/r!
Ω	1.006719813168	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	16080u3 64320bk3 6030y3 10050bf4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2010a4

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

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Quadratic twists for elliptic curve 2010a4

-4	8	-3	5	-7
16080u3	64320bk3	6030y3	10050bf4	98490ba3

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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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