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	4	Product of Tamagawa factors cp
Δ	25690112 = 219 · 72	Discriminant
Eigenvalues	2+  2  0 7-  0  4  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-673,6945]	[a1,a2,a3,a4,a6]
j	128787625/98	j-invariant
L	2.1015304994765	L(r)(E,1)/r!
Ω	2.1015304994765	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	448f2 14a6 4032l2 11200j2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 448c2

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 448c2

-4	8	-3	5	-7	-11	13	17
448f2	14a6	4032l2	11200j2	3136k2	54208m2	75712h2	129472l2

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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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