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	8	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-5403265623 = -1 · 38 · 77	Discriminant
Eigenvalues	1 3- -2 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,432,-869]	[a1,a2,a3,a4,a6]
Generators	[30:181:1]	Generators of the group modulo torsion
j	103823/63	j-invariant
L	2.0779091176684	L(r)(E,1)/r!
Ω	0.78753161613465	Real period
R	1.3192544115671	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	7056bx1 28224bz1 147a1 11025ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441c1

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 441c1

-4	8	-3	5	-7	-11	13	17
7056bx1	28224bz1	147a1	11025ba1	63a1	53361bo1	74529bc1	127449bi1

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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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