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	14896z	Isogeny class
Conductor	14896	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2386416199688192 = -1 · 213 · 76 · 195	Discriminant
Eigenvalues	2- -1  4 7- -2  1 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-54896,-5461952]	[a1,a2,a3,a4,a6]
Generators	[40944:1573480:27]	Generators of the group modulo torsion
j	-37966934881/4952198	j-invariant
L	4.9844070438082	L(r)(E,1)/r!
Ω	0.15482287198139	Real period
R	8.0485637877963	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	1862f2 59584cx2 304a2	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 14896z2

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
-	-1	4	-	-2	1	-3	+	1	-5	-8	-2	8	-4	8	-1	15	-2	-3	-2	-9	10	-6	0	2

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Quadratic twists for elliptic curve 14896z2

-4	8	-7
1862f2	59584cx2	304a2

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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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