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	2014c	Isogeny class
Conductor	2014	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	132	Modular degree for the optimal curve
Δ	-2014 = -1 · 2 · 19 · 53	Discriminant
Eigenvalues	2-  2  2 -1 -2  3  5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-12,11]	[a1,a2,a3,a4,a6]
j	-192100033/2014	j-invariant
L	4.6790391691613	L(r)(E,1)/r!
Ω	4.6790391691613	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16112f1 64448c1 18126f1 50350c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2014c1

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	2	-1	-2	3	5	-	4	-5	3	5	2	2	-3	-	5	-15	8	3	6	8	-7	-6	-2

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Quadratic twists for elliptic curve 2014c1

-4	8	-3	5	-7	-19	53
16112f1	64448c1	18126f1	50350c1	98686l1	38266d1	106742b1

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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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