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	1044j	Isogeny class
Conductor	1044	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-5412096 = -1 · 28 · 36 · 29	Discriminant
Eigenvalues	2- 3- -3 -4 -3  5  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-39,-146]	[a1,a2,a3,a4,a6]
j	-35152/29	j-invariant
L	0.92288752081642	L(r)(E,1)/r!
Ω	0.92288752081642	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	4176bi1 16704y1 116b1 26100z1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1044j1

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
-	-	-3	-4	-3	5	6	-4	6	-	5	8	0	-1	3	-3	-6	2	8	-6	-16	11	-6	12	8

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Quadratic twists for elliptic curve 1044j1

-4	8	-3	5	-7	-11	29
4176bi1	16704y1	116b1	26100z1	51156be1	126324k1	30276m1

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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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