Cremona's table of elliptic curves

14440 = 2³ · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 5- 19+	Signs for the Atkin-Lehner involutions
Class	14440d	Isogeny class
Conductor	14440	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	38304	Modular degree for the optimal curve
Δ	21738960692480 = 28 · 5 · 198	Discriminant
Eigenvalues	2+ -2 5-  4  1 -4  4 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9145,-254037]	[a1,a2,a3,a4,a6]
j	19456/5	j-invariant
L	1.9898800029824	L(r)(E,1)/r!
Ω	0.49747000074559	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	28880f1 115520g1 129960ce1 72200z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14440d1

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	-	4	1	-4	4	+	6	5	-1	-2	-6	6	0	10	3	5	4	-13	-6	11	-14	-7	-6

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Quadratic twists for elliptic curve 14440d1

-4	8	-3	5	-19
28880f1	115520g1	129960ce1	72200z1	14440k1

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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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