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	22080s	Isogeny class
Conductor	22080	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	987240960000 = 212 · 36 · 54 · 232	Discriminant
Eigenvalues	2+ 3+ 5-  0  0  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2505,7497]	[a1,a2,a3,a4,a6]
Generators	[-43:184:1]	Generators of the group modulo torsion
j	424580764096/241025625	j-invariant
L	4.9712317805485	L(r)(E,1)/r!
Ω	0.75581323154124	Real period
R	1.6443320826798	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	22080bg2 11040f1 66240ba2 110400ct2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080s2

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

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Quadratic twists for elliptic curve 22080s2

-4	8	-3	5
22080bg2	11040f1	66240ba2	110400ct2

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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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