Cremona's table of elliptic curves

1044 = 2² · 3² · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 29-	Signs for the Atkin-Lehner involutions
Class	1044g	Isogeny class
Conductor	1044	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-4853603886192 = -1 · 24 · 321 · 29	Discriminant
Eigenvalues	2- 3-  2  1 -3  5  1  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-849,-106423]	[a1,a2,a3,a4,a6]
j	-5802287872/416118303	j-invariant
L	2.0358094631174	L(r)(E,1)/r!
Ω	0.33930157718623	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4176bd1 16704u1 348c1 26100u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1044g1

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
-	-	2	1	-3	5	1	6	-4	-	0	8	10	4	-7	2	-6	-8	3	4	4	6	14	7	-2

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Quadratic twists for elliptic curve 1044g1

-4	8	-3	5	-7	-11	29
4176bd1	16704u1	348c1	26100u1	51156bb1	126324h1	30276i1

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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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