Cremona's table of elliptic curves

14896 = 2⁴ · 7² · 19

Field	Data	Notes
Atkin-Lehner	2+ 7- 19-	Signs for the Atkin-Lehner involutions
Class	14896t	Isogeny class
Conductor	14896	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1920	Modular degree for the optimal curve
Δ	-953344 = -1 · 210 · 72 · 19	Discriminant
Eigenvalues	2+  2 -1 7-  3 -4 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-16,-48]	[a1,a2,a3,a4,a6]
Generators	[6:6:1]	Generators of the group modulo torsion
j	-9604/19	j-invariant
L	6.4472127507659	L(r)(E,1)/r!
Ω	1.1161742560039	Real period
R	1.4440426116456	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	7448e1 59584cq1 14896f1	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 14896t1

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	-1	-	3	-4	-2	-	7	2	6	-10	-8	-7	9	6	14	-5	-14	-8	-1	-10	17	0	-12

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Quadratic twists for elliptic curve 14896t1

-4	8	-7
7448e1	59584cq1	14896f1

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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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