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	432	Product of Tamagawa factors cp
Δ	3617820822470400 = 28 · 37 · 52 · 76 · 133	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-311223,66764878]	[a1,a2,a3,a4,a6]
Generators	[-274:11466:1]	Generators of the group modulo torsion
j	17863694078368336/19385613975	j-invariant
L	4.5853255897391	L(r)(E,1)/r!
Ω	0.44181823920919	Real period
R	0.86485896665456	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	65520cr4 5460g4 81900i4 114660bp4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16380f4

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 16380f4

-4	-3	5	-7
65520cr4	5460g4	81900i4	114660bp4

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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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