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	16320bb	Isogeny class
Conductor	16320	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	776654438400000000 = 220 · 38 · 58 · 172	Discriminant
Eigenvalues	2+ 3- 5+  0 -4  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-462081,-113374881]	[a1,a2,a3,a4,a6]
Generators	[-373:2688:1]	Generators of the group modulo torsion
j	41623544884956481/2962701562500	j-invariant
L	5.3593055894495	L(r)(E,1)/r!
Ω	0.18393501866225	Real period
R	3.6421188501974	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	16320bt5 510e5 48960cl6 81600c6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320bb5

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

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Quadratic twists for elliptic curve 16320bb5

-4	8	-3	5
16320bt5	510e5	48960cl6	81600c6

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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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