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	1560f	Isogeny class
Conductor	1560	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-101088000 = -1 · 28 · 35 · 53 · 13	Discriminant
Eigenvalues	2+ 3- 5- -3 -3 13+ -1 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-105,603]	[a1,a2,a3,a4,a6]
Generators	[-9:30:1]	Generators of the group modulo torsion
j	-504871936/394875	j-invariant
L	3.1580859991229	L(r)(E,1)/r!
Ω	1.7354284849627	Real period
R	0.030329550948438	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	3120d1 12480i1 4680o1 7800q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1560f1

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
+	-	-	-3	-3	+	-1	-6	-5	-6	2	7	3	-8	-2	-1	0	-15	12	5	-6	-13	12	1	17

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Quadratic twists for elliptic curve 1560f1

-4	8	-3	5	-7	13
3120d1	12480i1	4680o1	7800q1	76440k1	20280x1

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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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