Cremona's table of elliptic curves

16080 = 2⁴ · 3 · 5 · 67

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 67-	Signs for the Atkin-Lehner involutions
Class	16080c	Isogeny class
Conductor	16080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-5571381934080 = -1 · 211 · 33 · 5 · 674	Discriminant
Eigenvalues	2+ 3+ 5+ -4  4  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,4264,-39024]	[a1,a2,a3,a4,a6]
j	4185462859342/2720401335	j-invariant
L	1.7392972717414	L(r)(E,1)/r!
Ω	0.43482431793535	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8040e4 64320cs3 48240y3 80400z3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16080c4

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

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Quadratic twists for elliptic curve 16080c4

-4	8	-3	5
8040e4	64320cs3	48240y3	80400z3

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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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