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	22080ch	Isogeny class
Conductor	22080	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	5652480 = 214 · 3 · 5 · 23	Discriminant
Eigenvalues	2- 3+ 5-  0  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-465,4017]	[a1,a2,a3,a4,a6]
j	680136784/345	j-invariant
L	2.3712459674425	L(r)(E,1)/r!
Ω	2.3712459674425	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	22080bj1 5520g1 66240ej1 110400hq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22080ch1

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	6	2	12	0	-10	-12	6	12	12	2	-16	16	14	6

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Quadratic twists for elliptic curve 22080ch1

-4	8	-3	5
22080bj1	5520g1	66240ej1	110400hq1

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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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