Cremona's table of elliptic curves

10440 = 2³ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 29-	Signs for the Atkin-Lehner involutions
Class	10440ba	Isogeny class
Conductor	10440	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	54797472000 = 28 · 310 · 53 · 29	Discriminant
Eigenvalues	2- 3- 5- -2  2 -2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-10767,429874]	[a1,a2,a3,a4,a6]
Generators	[113:-810:1]	Generators of the group modulo torsion
j	739674007504/293625	j-invariant
L	4.5450228510566	L(r)(E,1)/r!
Ω	1.0994562347608	Real period
R	0.34449020550339	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	20880x1 83520x1 3480d1 52200s1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10440ba1

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	2	-2	2	-2	-6	-	-2	10	-6	12	-8	6	0	14	-2	-12	-6	2	-10	2	-14

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Quadratic twists for elliptic curve 10440ba1

-4	8	-3	5
20880x1	83520x1	3480d1	52200s1

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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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