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	22080cm	Isogeny class
Conductor	22080	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	23152558080 = 226 · 3 · 5 · 23	Discriminant
Eigenvalues	2- 3- 5+  0  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-801,-5025]	[a1,a2,a3,a4,a6]
Generators	[181195:6899712:125]	Generators of the group modulo torsion
j	217081801/88320	j-invariant
L	6.5480760712699	L(r)(E,1)/r!
Ω	0.92977293497313	Real period
R	7.0426615197818	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	22080h1 5520r1 66240fu1 110400gi1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080cm1

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

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Quadratic twists for elliptic curve 22080cm1

-4	8	-3	5
22080h1	5520r1	66240fu1	110400gi1

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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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