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	14440f	Isogeny class
Conductor	14440	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	147744	Modular degree for the optimal curve
Δ	196194120249632000 = 28 · 53 · 1910	Discriminant
Eigenvalues	2-  2 5+  0  5  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-173761,18032565]	[a1,a2,a3,a4,a6]
Generators	[-764169:52225622:9261]	Generators of the group modulo torsion
j	369664/125	j-invariant
L	6.7819365160275	L(r)(E,1)/r!
Ω	0.29275473037664	Real period
R	11.582966579741	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	28880b1 115520bd1 129960bj1 72200j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14440f1

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	5	2	-2	-	-4	-9	5	4	-10	-8	-2	-6	-7	-7	14	-7	0	1	4	-9	16

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Quadratic twists for elliptic curve 14440f1

-4	8	-3	5	-19
28880b1	115520bd1	129960bj1	72200j1	14440a1

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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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