Cremona's table of elliptic curves

16380 = 2² · 3² · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	16380f	Isogeny class
Conductor	16380	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-868988959216560 = -1 · 24 · 38 · 5 · 73 · 136	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-14628,1573297]	[a1,a2,a3,a4,a6]
Generators	[-118:1287:1]	Generators of the group modulo torsion
j	-29677755744256/74501796915	j-invariant
L	4.5853255897391	L(r)(E,1)/r!
Ω	0.44181823920919	Real period
R	1.7297179333091	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	65520cr3 5460g3 81900i3 114660bp3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16380f3

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	-	-6	-4	0	-6	8	8	6	-10	12	0	-6	2	8	12	2	-4	-12	-6	14

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Quadratic twists for elliptic curve 16380f3

-4	-3	5	-7
65520cr3	5460g3	81900i3	114660bp3

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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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