Cremona's table of elliptic curves

14 = 2 · 7

Field	Data	Notes
Atkin-Lehner	2+ 7-	Signs for the Atkin-Lehner involutions
Class	14a	Isogeny class
Conductor	14	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1	Modular degree for the optimal curve
Δ	-21952 = -1 · 26 · 73	Discriminant
Eigenvalues	2+ -2  0 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,4,-6]	[a1,a2,a3,a4,a6]
j	9938375/21952	j-invariant
L	0.33022365934448	L(r)(E,1)/r!
Ω	1.9813419560669	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	112c3 448c3 126a3 350d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14a1

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	0	-	0	-4	6	2	0	-6	-4	2	6	8	-12	6	-6	8	-4	0	2	8	-6	-6	-10

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Quadratic twists for elliptic curve 14a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73	-79	-83	89
112c3	448c3	126a3	350d3	98a3	1694f3	2366j3	4046b3	5054c3	7406d3	11774k3	13454d3	19166a3	23534e3	25886a3	30926f3	39326l3	48734f3	52094j3	62846g3	70574e3	74606b3	87374d3	96446h3	110894c3

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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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