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	4	Product of Tamagawa factors cp
Δ	12607619787 = 37 · 78	Discriminant
Eigenvalues	1 3- -2 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-345753,-78165914]	[a1,a2,a3,a4,a6]
Generators	[-1099744636:548513633:3241792]	Generators of the group modulo torsion
j	53297461115137/147	j-invariant
L	2.0779091176684	L(r)(E,1)/r!
Ω	0.19688290403366	Real period
R	10.554035292537	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	7056bx5 28224bz6 147a5 11025ba5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 441c5

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 441c5

-4	8	-3	5	-7	-11	13	17
7056bx5	28224bz6	147a5	11025ba5	63a5	53361bo6	74529bc6	127449bi6

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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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