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	16320b	Isogeny class
Conductor	16320	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-379651133276160 = -1 · 220 · 3 · 5 · 176	Discriminant
Eigenvalues	2+ 3+ 5+  2  0  4 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-209601,-36877119]	[a1,a2,a3,a4,a6]
Generators	[5943617799301:91339144997248:9168698357]	Generators of the group modulo torsion
j	-3884775383991601/1448254140	j-invariant
L	4.3916141699572	L(r)(E,1)/r!
Ω	0.11156072724487	Real period
R	19.682617164721	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	16320cl3 510g3 48960da3 81600dy3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320b3

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

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Quadratic twists for elliptic curve 16320b3

-4	8	-3	5
16320cl3	510g3	48960da3	81600dy3

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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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