Cremona's table of elliptic curves

17160 = 2³ · 3 · 5 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11- 13+	Signs for the Atkin-Lehner involutions
Class	17160o	Isogeny class
Conductor	17160	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1.0032642211363E+19	Discriminant
Eigenvalues	2- 3+ 5+ -2 11- 13+ -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-555376,46600060]	[a1,a2,a3,a4,a6]
Generators	[22962:370844:27]	Generators of the group modulo torsion
j	18500602077383458756/9797502159534375	j-invariant
L	3.2833013483736	L(r)(E,1)/r!
Ω	0.20090235936033	Real period
R	8.1713857388922	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	34320n2 51480q2 85800bi2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 17160o2

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

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Quadratic twists for elliptic curve 17160o2

-4	-3	5
34320n2	51480q2	85800bi2

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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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