Cremona's table of elliptic curves

441 = 3² · 7²

Field	Data	Notes
Atkin-Lehner	3- 7-	Signs for the Atkin-Lehner involutions
Class	441f	Isogeny class
Conductor	441	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-56950811883 = -1 · 319 · 72	Discriminant
Eigenvalues	-2 3- -2 7-  2 -1  0 -1	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-8211,-286610]	[a1,a2,a3,a4,a6]
Generators	[235:3280:1]	Generators of the group modulo torsion
j	-1713910976512/1594323	j-invariant
L	0.9944972959649	L(r)(E,1)/r!
Ω	0.25075310573986	Real period
R	0.99151044712942	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	7056bw2 28224bx2 147c2 11025bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441f2

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	-	-2	-	2	-1	0	-1	0	-4	-9	3	-10	5	-6	-12	-12	-10	-5	6	3	-1	6	16	6

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Quadratic twists for elliptic curve 441f2

-4	8	-3	5	-7	-11	13	17
7056bw2	28224bx2	147c2	11025bb2	441e2	53361bt2	74529bg2	127449bq2

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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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