Cremona's table of elliptic curves

22080 = 2⁶ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+ 23+	Signs for the Atkin-Lehner involutions
Class	22080f	Isogeny class
Conductor	22080	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	934425600 = 210 · 3 · 52 · 233	Discriminant
Eigenvalues	2+ 3+ 5+ -4  0 -2  6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-48661,-4115435]	[a1,a2,a3,a4,a6]
Generators	[89747:342516:343]	Generators of the group modulo torsion
j	12444451776495616/912525	j-invariant
L	2.9448739210942	L(r)(E,1)/r!
Ω	0.32144269120772	Real period
R	9.1614275317002	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	22080cs3 1380d3 66240dg3 110400ei3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080f3

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

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Quadratic twists for elliptic curve 22080f3

-4	8	-3	5
22080cs3	1380d3	66240dg3	110400ei3

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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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