Cremona's table of elliptic curves

22560 = 2⁵ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 47-	Signs for the Atkin-Lehner involutions
Class	22560f	Isogeny class
Conductor	22560	Conductor
∏ cp	42	Product of Tamagawa factors cp
deg	43008	Modular degree for the optimal curve
Δ	-4650207252480 = -1 · 212 · 37 · 5 · 473	Discriminant
Eigenvalues	2+ 3- 5+ -3 -2 -1  7  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2639,-88801]	[a1,a2,a3,a4,a6]
Generators	[137:1692:1]	Generators of the group modulo torsion
j	496040751296/1135304505	j-invariant
L	5.1572520819897	L(r)(E,1)/r!
Ω	0.40033795949522	Real period
R	0.30672014313276	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22560a1 45120ch1 67680z1 112800bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22560f1

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
+	-	+	-3	-2	-1	7	5	-5	-9	0	8	-3	-2	-	-9	3	-7	12	9	14	10	-16	-10	4

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Quadratic twists for elliptic curve 22560f1

-4	8	-3	5
22560a1	45120ch1	67680z1	112800bn1

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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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