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	16320be	Isogeny class
Conductor	16320	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	300810240 = 217 · 33 · 5 · 17	Discriminant
Eigenvalues	2+ 3- 5+ -4 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-391681,94220639]	[a1,a2,a3,a4,a6]
Generators	[362:33:1]	Generators of the group modulo torsion
j	50700519510140162/2295	j-invariant
L	4.343174331058	L(r)(E,1)/r!
Ω	0.93324498769746	Real period
R	1.5512805277328	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	16320bw3 2040l4 48960cw4 81600p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320be4

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

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Quadratic twists for elliptic curve 16320be4

-4	8	-3	5
16320bw3	2040l4	48960cw4	81600p4

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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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