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	-1645787662752153600 = -1 · 220 · 32 · 52 · 178	Discriminant
Eigenvalues	2+ 3- 5+  0 -4  2 17- -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,195839,51997535]	[a1,a2,a3,a4,a6]
Generators	[-181:3264:1]	Generators of the group modulo torsion
j	3168685387909439/6278181696900	j-invariant
L	5.3593055894495	L(r)(E,1)/r!
Ω	0.18393501866225	Real period
R	0.91052971254934	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	16320bt6 510e6 48960cl5 81600c5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320bb6

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 16320bb6

-4	8	-3	5
16320bt6	510e6	48960cl5	81600c5

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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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