Cremona's table of elliptic curves

16320 = 2⁶ · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	16320k	Isogeny class
Conductor	16320	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	369470177280 = 215 · 33 · 5 · 174	Discriminant
Eigenvalues	2+ 3+ 5-  0  0  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6145,-181055]	[a1,a2,a3,a4,a6]
j	783267508232/11275335	j-invariant
L	2.1587470506783	L(r)(E,1)/r!
Ω	0.53968676266959	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	16320bg3 8160m2 48960bv4 81600dk4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320k3

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	+	4	4	-2	0	2	6	8	8	-6	4	6	-8	-16	-10	8	12	10	6

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Quadratic twists for elliptic curve 16320k3

-4	8	-3	5
16320bg3	8160m2	48960bv4	81600dk4

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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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