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	25088 = 29 · 72	Discriminant
Eigenvalues	2+ -2  0 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2731,-55146]	[a1,a2,a3,a4,a6]
j	2251439055699625/25088	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	112c6 448c6 126a6 350d6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14a5

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 14a5

-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
112c6	448c6	126a6	350d6	98a6	1694f6	2366j6	4046b6	5054c6	7406d6	11774k6	13454d6	19166a6	23534e6	25886a6	30926f6	39326l6	48734f6	52094j6	62846g6	70574e6	74606b6	87374d6	96446h6	110894c6

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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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