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
Δ	941192 = 23 · 76	Discriminant
Eigenvalues	2+ -2  0 7-  0 -4  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-36,-70]	[a1,a2,a3,a4,a6]
j	4956477625/941192	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	112c4 448c4 126a4 350d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14a2

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 14a2

-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
112c4	448c4	126a4	350d4	98a4	1694f4	2366j4	4046b4	5054c4	7406d4	11774k4	13454d4	19166a4	23534e4	25886a4	30926f4	39326l4	48734f4	52094j4	62846g4	70574e4	74606b4	87374d4	96446h4	110894c4

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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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