Cremona's table of elliptic curves

89280 = 2⁶ · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 31-	Signs for the Atkin-Lehner involutions
Class	89280dx	Isogeny class
Conductor	89280	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-340092518400 = -1 · 219 · 33 · 52 · 312	Discriminant
Eigenvalues	2- 3+ 5- -4  4 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1428,-18864]	[a1,a2,a3,a4,a6]
j	45499293/48050	j-invariant
L	2.0816833988973	L(r)(E,1)/r!
Ω	0.5204208584045	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	89280s2 22320x2 89280dl2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 89280dx2

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

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Quadratic twists for elliptic curve 89280dx2

-4	8	-3
89280s2	22320x2	89280dl2

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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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