Cremona's table of elliptic curves

1014 = 2 · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13+	Signs for the Atkin-Lehner involutions
Class	1014f	Isogeny class
Conductor	1014	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-25518145536 = -1 · 224 · 32 · 132	Discriminant
Eigenvalues	2- 3- -3 -2 -6 13+ -3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,523,-6111]	[a1,a2,a3,a4,a6]
Generators	[82:-809:1]	Generators of the group modulo torsion
j	93603087383/150994944	j-invariant
L	3.3149785458493	L(r)(E,1)/r!
Ω	0.6285304350653	Real period
R	0.10987861396299	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8112v2 32448i2 3042e2 25350e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1014f2

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
-	-	-3	-2	-6	+	-3	-2	-6	3	4	7	3	-10	-6	3	0	-7	10	-6	13	-4	6	-18	-14

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Quadratic twists for elliptic curve 1014f2

-4	8	-3	5	-7	-11	13
8112v2	32448i2	3042e2	25350e2	49686ck2	122694bm2	1014b2

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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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