Cremona's table of elliptic curves

441 = 3² · 7²

Field	Data	Notes
Atkin-Lehner	3- 7-	Signs for the Atkin-Lehner involutions
Class	441c	Isogeny class
Conductor	441	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	340405734249 = 310 · 78	Discriminant
Eigenvalues	1 3- -2 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1773,-5720]	[a1,a2,a3,a4,a6]
Generators	[-4:38:1]	Generators of the group modulo torsion
j	7189057/3969	j-invariant
L	2.0779091176684	L(r)(E,1)/r!
Ω	0.78753161613465	Real period
R	2.6385088231342	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7056bx2 28224bz2 147a2 11025ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441c2

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	-	-2	-	-4	2	-6	-4	0	2	0	6	2	-4	0	-6	12	2	4	0	6	-16	-12	-14	-18

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Quadratic twists for elliptic curve 441c2

-4	8	-3	5	-7	-11	13	17
7056bx2	28224bz2	147a2	11025ba2	63a2	53361bo2	74529bc2	127449bi2

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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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