Cremona's table of elliptic curves

2280 = 2³ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19+	Signs for the Atkin-Lehner involutions
Class	2280i	Isogeny class
Conductor	2280	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	378963360000 = 28 · 38 · 54 · 192	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2820,-50400]	[a1,a2,a3,a4,a6]
j	9691367618896/1480325625	j-invariant
L	2.647386668036	L(r)(E,1)/r!
Ω	0.66184666700901	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	4560d2 18240f2 6840e2 11400a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2280i2

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	-6	4	8	6	-12	-2	4	8	-6	16	-4	-6	10

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Quadratic twists for elliptic curve 2280i2

-4	8	-3	5	-7	-19
4560d2	18240f2	6840e2	11400a2	111720bd2	43320h2

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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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