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	1560b	Isogeny class
Conductor	1560	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	2554695936000 = 211 · 310 · 53 · 132	Discriminant
Eigenvalues	2+ 3+ 5-  2  4 13+  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4280,-74100]	[a1,a2,a3,a4,a6]
j	4234737878642/1247410125	j-invariant
L	1.8108138389092	L(r)(E,1)/r!
Ω	0.60360461296972	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3120i2 12480bb2 4680n2 7800v2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1560b2

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

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Quadratic twists for elliptic curve 1560b2

-4	8	-3	5	-7	13
3120i2	12480bb2	4680n2	7800v2	76440bc2	20280p2

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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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