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	2010b	Isogeny class
Conductor	2010	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	20100 = 22 · 3 · 52 · 67	Discriminant
Eigenvalues	2+ 3+ 5-  2  0  2 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-7,1]	[a1,a2,a3,a4,a6]
Generators	[-3:4:1]	Generators of the group modulo torsion
j	47045881/20100	j-invariant
L	2.1799194781167	L(r)(E,1)/r!
Ω	3.4711999547072	Real period
R	0.62800170159043	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16080w1 64320x1 6030v1 10050bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2010b1

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

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Quadratic twists for elliptic curve 2010b1

-4	8	-3	5	-7
16080w1	64320x1	6030v1	10050bh1	98490t1

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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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