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	10440bb	Isogeny class
Conductor	10440	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-99907476712473600 = -1 · 210 · 38 · 52 · 296	Discriminant
Eigenvalues	2- 3- 5- -2 -6  6  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-364107,-85921706]	[a1,a2,a3,a4,a6]
Generators	[4323:281300:1]	Generators of the group modulo torsion
j	-7151272254745636/133835247225	j-invariant
L	4.4250672598152	L(r)(E,1)/r!
Ω	0.097068945561442	Real period
R	3.798903993978	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	20880y2 83520y2 3480e2 52200t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10440bb2

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	-6	6	2	-2	2	-	6	-6	2	-4	-8	-10	0	6	-10	-12	10	10	6	10	2

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Quadratic twists for elliptic curve 10440bb2

-4	8	-3	5
20880y2	83520y2	3480e2	52200t2

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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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