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	1560c	Isogeny class
Conductor	1560	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	47971512576000 = 211 · 38 · 53 · 134	Discriminant
Eigenvalues	2+ 3- 5+  0  0 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-9896,-183696]	[a1,a2,a3,a4,a6]
j	52337949619538/23423590125	j-invariant
L	1.9962623165747	L(r)(E,1)/r!
Ω	0.49906557914366	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	3120a3 12480n3 4680r3 7800o3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1560c3

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
+	-	+	0	0	+	2	0	4	6	8	10	-6	4	-8	2	0	6	12	8	6	8	-12	-14	-10

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Quadratic twists for elliptic curve 1560c3

-4	8	-3	5	-7	13
3120a3	12480n3	4680r3	7800o3	76440s4	20280bb3

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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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