Cremona's table of elliptic curves

40560 = 2⁴ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 13+	Signs for the Atkin-Lehner involutions
Class	40560br	Isogeny class
Conductor	40560	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	97430355248578560 = 215 · 36 · 5 · 138	Discriminant
Eigenvalues	2- 3+ 5-  2  0 13+  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-557080,-159146768]	[a1,a2,a3,a4,a6]
Generators	[2860438:-54316431:2744]	Generators of the group modulo torsion
j	967068262369/4928040	j-invariant
L	6.1010251277039	L(r)(E,1)/r!
Ω	0.17480478416822	Real period
R	8.7254836255352	Regulator
r	1	Rank of the group of rational points
S	1.0000000000006	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5070k2 121680dl2 3120q2	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 40560br2

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

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Quadratic twists for elliptic curve 40560br2

-4	-3	13
5070k2	121680dl2	3120q2

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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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