Cremona's table of elliptic curves

1012 = 2² · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 11- 23-	Signs for the Atkin-Lehner involutions
Class	1012d	Isogeny class
Conductor	1012	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	712448 = 28 · 112 · 23	Discriminant
Eigenvalues	2-  0  2  4 11-  2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-119,-498]	[a1,a2,a3,a4,a6]
j	727988688/2783	j-invariant
L	2.1687222252857	L(r)(E,1)/r!
Ω	1.4458148168572	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	4048d2 16192e2 9108i2 25300e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1012d2

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	2	4	-	2	0	4	-	6	-8	-2	2	-4	-4	6	4	-4	4	8	14	-16	0	10	-2

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Quadratic twists for elliptic curve 1012d2

-4	8	-3	5	-7	-11	-23
4048d2	16192e2	9108i2	25300e2	49588r2	11132f2	23276a2

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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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