Cremona's table of elliptic curves

15960 = 2³ · 3 · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 7+ 19-	Signs for the Atkin-Lehner involutions
Class	15960l	Isogeny class
Conductor	15960	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	242880	Modular degree for the optimal curve
Δ	-26139349433998080 = -1 · 28 · 311 · 5 · 75 · 193	Discriminant
Eigenvalues	2- 3+ 5- 7+ -4  4  8 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-517825,143807797]	[a1,a2,a3,a4,a6]
j	-59983751935638946816/102106833726555	j-invariant
L	2.2575469806135	L(r)(E,1)/r!
Ω	0.37625783010224	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	31920o1 127680by1 47880k1 79800o1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 15960l1

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	8	-	9	5	-3	3	0	8	4	6	-10	-4	13	-7	13	-10	2	-8	16

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Quadratic twists for elliptic curve 15960l1

-4	8	-3	5	-7
31920o1	127680by1	47880k1	79800o1	111720bq1

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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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