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	10560c	Isogeny class
Conductor	10560	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	26136000 = 26 · 33 · 53 · 112	Discriminant
Eigenvalues	2+ 3+ 5+ -4 11+ -4 -2  6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4496,117546]	[a1,a2,a3,a4,a6]
Generators	[-5:374:1]	Generators of the group modulo torsion
j	157079401546816/408375	j-invariant
L	2.5828156923221	L(r)(E,1)/r!
Ω	1.8342735963292	Real period
R	2.8161727863182	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	10560v1 5280t2 31680bz1 52800ck1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560c1

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 10560c1

-4	8	-3	5	-11
10560v1	5280t2	31680bz1	52800ck1	116160ba1

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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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