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	22560s	Isogeny class
Conductor	22560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-10179072000 = -1 · 212 · 32 · 53 · 472	Discriminant
Eigenvalues	2- 3- 5+  0 -4 -4  4 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,479,-2545]	[a1,a2,a3,a4,a6]
j	2961169856/2485125	j-invariant
L	1.4223159870543	L(r)(E,1)/r!
Ω	0.71115799352714	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	22560j2 45120cc1 67680h2 112800c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22560s2

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	-4	4	-2	-8	-2	10	-2	6	4	-	4	-6	-2	-8	-10	4	0	0	6	-10

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Quadratic twists for elliptic curve 22560s2

-4	8	-3	5
22560j2	45120cc1	67680h2	112800c2

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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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