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	-1483273860320763 = -1 · 37 · 714	Discriminant
Eigenvalues	1 3- -2 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-15003,-1979636]	[a1,a2,a3,a4,a6]
Generators	[296:4262:1]	Generators of the group modulo torsion
j	-4354703137/17294403	j-invariant
L	2.0779091176684	L(r)(E,1)/r!
Ω	0.19688290403366	Real period
R	2.6385088231342	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	7056bx6 28224bz5 147a6 11025ba6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441c6

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 441c6

-4	8	-3	5	-7	-11	13	17
7056bx6	28224bz5	147a6	11025ba6	63a6	53361bo5	74529bc5	127449bi5

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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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