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	-5754585088 = -1 · 224 · 73	Discriminant
Eigenvalues	2- -2  0 7+  0  4  6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,287,3231]	[a1,a2,a3,a4,a6]
j	9938375/21952	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	448c3 112c3 4032z3 11200co3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 448f3

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 448f3

-4	8	-3	5	-7	-11	13	17
448c3	112c3	4032z3	11200co3	3136y3	54208dc3	75712cy3	129472de3

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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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