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	2	Product of Tamagawa factors cp
Δ	-1835008 = -1 · 218 · 7	Discriminant
Eigenvalues	2+ -2  0 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-171,-874]	[a1,a2,a3,a4,a6]
j	-548347731625/1835008	j-invariant
L	0.33022365934448	L(r)(E,1)/r!
Ω	0.66044731868896	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	112c5 448c5 126a5 350d5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14a3

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 14a3

-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
112c5	448c5	126a5	350d5	98a5	1694f5	2366j5	4046b5	5054c5	7406d5	11774k5	13454d5	19166a5	23534e5	25886a5	30926f5	39326l5	48734f5	52094j5	62846g5	70574e5	74606b5	87374d5	96446h5	110894c5

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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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