Cremona's table of elliptic curves

441 = 3² · 7²

Field	Data	Notes
Atkin-Lehner	3- 7-	Signs for the Atkin-Lehner involutions
Class	441d	Isogeny class
Conductor	441	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	250047 = 36 · 73	Discriminant
Eigenvalues	-1 3-  0 7- -4  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-335,2440]	[a1,a2,a3,a4,a6]
Generators	[16:-40:1]	Generators of the group modulo torsion
j	16581375	j-invariant
L	1.2945586180599	L(r)(E,1)/r!
Ω	2.9531824109777	Real period
R	0.21918026689575	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7056bq2 28224bn2 49a2 11025y2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441d2

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
-1	-	0	-	-4	0	0	0	-8	-2	0	-6	0	-12	0	10	0	0	4	-16	0	8	0	0	0

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Quadratic twists for elliptic curve 441d2

-4	8	-3	5	-7	-11	13	17
7056bq2	28224bn2	49a2	11025y2	441d4	53361bd2	74529x2	127449bk2

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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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