Cremona's table of elliptic curves

2014 = 2 · 19 · 53

Field	Data	Notes
Atkin-Lehner	2+ 19- 53-	Signs for the Atkin-Lehner involutions
Class	2014b	Isogeny class
Conductor	2014	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	544	Modular degree for the optimal curve
Δ	-13814026 = -1 · 2 · 194 · 53	Discriminant
Eigenvalues	2+ -2 -3 -2  1  0  3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-20,180]	[a1,a2,a3,a4,a6]
Generators	[-6:12:1]	Generators of the group modulo torsion
j	-822656953/13814026	j-invariant
L	1.1704099003606	L(r)(E,1)/r!
Ω	1.8828417507986	Real period
R	0.15540470937934	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	16112e1 64448b1 18126o1 50350k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2014b1

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	-3	-2	1	0	3	-	-3	-2	3	10	-2	11	8	-	-9	-6	-16	-12	12	5	6	5	-17

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Quadratic twists for elliptic curve 2014b1

-4	8	-3	5	-7	-19	53
16112e1	64448b1	18126o1	50350k1	98686f1	38266i1	106742i1

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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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