Cremona's table of elliptic curves

448 = 2⁶ · 7

Field	Data	Notes
Atkin-Lehner	2+ 7-	Signs for the Atkin-Lehner involutions
Class	448c	Isogeny class
Conductor	448	Conductor
∏ cp	12	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	2.1015304994765	L(r)(E,1)/r!
Ω	0.70051016649216	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	448f3 14a1 4032l3 11200j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 448c3

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 448c3

-4	8	-3	5	-7	-11	13	17
448f3	14a1	4032l3	11200j3	3136k3	54208m3	75712h3	129472l3

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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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