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	22560o	Isogeny class
Conductor	22560	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	151040	Modular degree for the optimal curve
Δ	-380455845212160 = -1 · 212 · 34 · 5 · 475	Discriminant
Eigenvalues	2- 3+ 5+ -4 -6  1  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-70461,-7236459]	[a1,a2,a3,a4,a6]
Generators	[1863:79524:1]	Generators of the group modulo torsion
j	-9445312588271104/92884727835	j-invariant
L	2.4905726471387	L(r)(E,1)/r!
Ω	0.14642902658053	Real period
R	0.85043679702704	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	22560c1 45120bp1 67680l1 112800u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22560o1

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
-	+	+	-4	-6	1	2	-6	5	0	6	-10	2	1	-	2	-3	-5	-8	-15	15	1	-6	-1	-4

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Quadratic twists for elliptic curve 22560o1

-4	8	-3	5
22560c1	45120bp1	67680l1	112800u1

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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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