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	1853320108689 = 38 · 710	Discriminant
Eigenvalues	1 3- -2 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-21618,-1216265]	[a1,a2,a3,a4,a6]
Generators	[18510:879115:8]	Generators of the group modulo torsion
j	13027640977/21609	j-invariant
L	2.0779091176684	L(r)(E,1)/r!
Ω	0.39376580806732	Real period
R	5.2770176462683	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	7056bx4 28224bz4 147a4 11025ba3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441c3

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 441c3

-4	8	-3	5	-7	-11	13	17
7056bx4	28224bz4	147a4	11025ba3	63a4	53361bo4	74529bc4	127449bi4

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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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