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	22080d	Isogeny class
Conductor	22080	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	112326082560000 = 222 · 34 · 54 · 232	Discriminant
Eigenvalues	2+ 3+ 5+  0 -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-441601,113097985]	[a1,a2,a3,a4,a6]
Generators	[360:805:1]	Generators of the group modulo torsion
j	36330796409313601/428490000	j-invariant
L	3.3552364098722	L(r)(E,1)/r!
Ω	0.53809608167907	Real period
R	3.1176926613204	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	22080cr2 690k2 66240cw2 110400dq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080d2

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	-4	2	-6	-4	+	2	0	2	10	4	0	-6	4	10	12	-8	10	-8	4	18	2

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Quadratic twists for elliptic curve 22080d2

-4	8	-3	5
22080cr2	690k2	66240cw2	110400dq2

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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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