Cremona's table of elliptic curves

1560 = 2³ · 3 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	1560d	Isogeny class
Conductor	1560	Conductor
∏ cp	220	Product of Tamagawa factors cp
deg	5280	Modular degree for the optimal curve
Δ	-84190004570880 = -1 · 28 · 311 · 5 · 135	Discriminant
Eigenvalues	2+ 3- 5+ -1 -5 13-  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,9719,245915]	[a1,a2,a3,a4,a6]
Generators	[59:1014:1]	Generators of the group modulo torsion
j	396555344454656/328867205355	j-invariant
L	3.0075010216808	L(r)(E,1)/r!
Ω	0.39260190315679	Real period
R	0.034820155173825	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	3120b1 12480k1 4680u1 7800k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1560d1

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
+	-	+	-1	-5	-	3	-6	7	-6	-10	-11	5	-4	-2	-5	0	1	-4	-5	6	11	-8	7	-13

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Quadratic twists for elliptic curve 1560d1

-4	8	-3	5	-7	13
3120b1	12480k1	4680u1	7800k1	76440r1	20280bc1

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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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