Cremona's table of elliptic curves

448 = 2⁶ · 7

Field	Data	Notes
Atkin-Lehner	2- 7+	Signs for the Atkin-Lehner involutions
Class	448f	Isogeny class
Conductor	448	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	246727835648 = 221 · 76	Discriminant
Eigenvalues	2- -2  0 7+  0  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2273,33439]	[a1,a2,a3,a4,a6]
j	4956477625/941192	j-invariant
L	0.93726384398285	L(r)(E,1)/r!
Ω	0.93726384398285	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	448c4 112c4 4032z4 11200co4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 448f4

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	+	0	4	6	2	0	6	4	-2	6	8	12	-6	-6	-8	-4	0	2	-8	-6	-6	-10

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Quadratic twists for elliptic curve 448f4

-4	8	-3	5	-7	-11	13	17
448c4	112c4	4032z4	11200co4	3136y4	54208dc4	75712cy4	129472de4

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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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