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	96	Product of Tamagawa factors cp
Δ	740105994240000 = 217 · 312 · 54 · 17	Discriminant
Eigenvalues	2+ 3- 5+ -4 -4 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-27201,1117215]	[a1,a2,a3,a4,a6]
Generators	[-21:1296:1]	Generators of the group modulo torsion
j	16981825082402/5646560625	j-invariant
L	4.343174331058	L(r)(E,1)/r!
Ω	0.46662249384873	Real period
R	0.38782013193321	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	16320bw4 2040l3 48960cw3 81600p3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320be3

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 16320be3

-4	8	-3	5
16320bw4	2040l3	48960cw3	81600p3

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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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