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	16320bk	Isogeny class
Conductor	16320	Conductor
∏ cp	91	Product of Tamagawa factors cp
deg	139776	Modular degree for the optimal curve
Δ	-46473750000000000 = -1 · 210 · 37 · 513 · 17	Discriminant
Eigenvalues	2+ 3- 5- -3 -3 -4 17+  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,30575,-10155625]	[a1,a2,a3,a4,a6]
Generators	[650:16875:1]	Generators of the group modulo torsion
j	3086803246205696/45384521484375	j-invariant
L	5.4219021269503	L(r)(E,1)/r!
Ω	0.17541987533434	Real period
R	0.3396498939521	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16320cd1 2040b1 48960ch1 81600bg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16320bk1

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
+	-	-	-3	-3	-4	+	5	0	5	4	-9	7	8	-3	7	-6	4	14	-8	-9	2	8	-6	-14

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Quadratic twists for elliptic curve 16320bk1

-4	8	-3	5
16320cd1	2040b1	48960ch1	81600bg1

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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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