Cremona's table of elliptic curves

110544 = 2⁴ · 3 · 7² · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 47-	Signs for the Atkin-Lehner involutions
Class	110544ba	Isogeny class
Conductor	110544	Conductor
∏ cp	462	Product of Tamagawa factors cp
deg	9018240	Modular degree for the optimal curve
Δ	4.4130710522983E+23	Discriminant
Eigenvalues	2+ 3-  0 7+  0  3 -4  3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-22385568,25297466004]	[a1,a2,a3,a4,a6]
Generators	[-12:159894:1]	Generators of the group modulo torsion
j	252293449338593605250/89746765920659061	j-invariant
L	9.1038857133168	L(r)(E,1)/r!
Ω	0.086210029332894	Real period
R	0.22857410592604	Regulator
r	1	Rank of the group of rational points
S	0.99999999772806	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55272n1 110544f1	Quadratic twists by: -4 -7

Hecke Eigenvalues for elliptic curve 110544ba1

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
+	-	0	+	0	3	-4	3	3	2	-6	8	9	-4	-	6	-9	10	-3	-16	-8	-5	3	-4	-2

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Quadratic twists for elliptic curve 110544ba1

-4	-7
55272n1	110544f1

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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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