Cremona's table of elliptic curves

10560 = 2⁶ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11-	Signs for the Atkin-Lehner involutions
Class	10560v	Isogeny class
Conductor	10560	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-513216000000 = -1 · 212 · 36 · 56 · 11	Discriminant
Eigenvalues	2+ 3- 5+  4 11- -4 -2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4441,-120505]	[a1,a2,a3,a4,a6]
Generators	[89:444:1]	Generators of the group modulo torsion
j	-2365396076224/125296875	j-invariant
L	5.6753403585538	L(r)(E,1)/r!
Ω	0.29151103659184	Real period
R	3.2447830134244	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	10560c2 5280d1 31680bk2 52800bm2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560v2

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
+	-	+	4	-	-4	-2	-6	4	-4	-4	6	0	-12	0	6	-12	-6	-4	-16	-4	14	10	-14	-2

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Quadratic twists for elliptic curve 10560v2

-4	8	-3	5	-11
10560c2	5280d1	31680bk2	52800bm2	116160du2

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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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