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	2014a	Isogeny class
Conductor	2014	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	1404	Modular degree for the optimal curve
Δ	-2978013184 = -1 · 213 · 193 · 53	Discriminant
Eigenvalues	2+  2  2  3  2  1  5 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,336,1280]	[a1,a2,a3,a4,a6]
j	4175614324727/2978013184	j-invariant
L	2.7149649364059	L(r)(E,1)/r!
Ω	0.9049883121353	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	16112c1 64448g1 18126u1 50350n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2014a1

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	3	2	1	5	-	4	-7	-7	7	-10	2	9	+	3	13	-8	-15	-14	-8	9	2	2

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Quadratic twists for elliptic curve 2014a1

-4	8	-3	5	-7	-19	53
16112c1	64448g1	18126u1	50350n1	98686c1	38266m1	106742k1

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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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