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	14896s	Isogeny class
Conductor	14896	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	-14896 = -1 · 24 · 72 · 19	Discriminant
Eigenvalues	2+  2  1 7- -3  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,5,-6]	[a1,a2,a3,a4,a6]
Generators	[30:162:1]	Generators of the group modulo torsion
j	14336/19	j-invariant
L	7.2055446626425	L(r)(E,1)/r!
Ω	2.1027766683352	Real period
R	3.4266809077482	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	7448u1 59584cs1 14896g1	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 14896s1

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	2	2	-	-1	-8	0	2	-10	11	-3	0	-8	-11	4	8	11	-10	-5	6	6

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Quadratic twists for elliptic curve 14896s1

-4	8	-7
7448u1	59584cs1	14896g1

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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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