Cremona's table of elliptic curves

890 = 2 · 5 · 89

Field	Data	Notes
Atkin-Lehner	2- 5- 89-	Signs for the Atkin-Lehner involutions
Class	890h	Isogeny class
Conductor	890	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	160	Modular degree for the optimal curve
Δ	569600 = 28 · 52 · 89	Discriminant
Eigenvalues	2-  0 5-  4 -4  6  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-52,151]	[a1,a2,a3,a4,a6]
j	15271450641/569600	j-invariant
L	2.8880852692776	L(r)(E,1)/r!
Ω	2.8880852692776	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7120o1 28480d1 8010a1 4450c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 890h1

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

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Quadratic twists for elliptic curve 890h1

-4	8	-3	5	-7	-11	89
7120o1	28480d1	8010a1	4450c1	43610s1	107690t1	79210g1

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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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